subfactorial numbers: A000166 *
subgroups of a group, see: groups, maximal number of subgroups in
sublattices , sequences related to (start):
sublattices of given index in generic d-dimensional lattices: A000203 A001615 A001001 A060983 A038991 A038992 A038993 A038994 A038995 A038996 A038997 A038998 A038999
sublattices of given index in various lattices: A003051 , A003050 , A054345 , A054346 , A054384
sublattices, similar: Z^2: A000161 , A002654 ; Z^4: A035292 ; D_4: A045771
Subsequences of [1 ... n]:: A007481 , A007484 , A007455 , A007482 , A007483
subset sums , sequences related to (start):
subset sums modulo m, sequences related to: A000016 , A000048 , A053633 , A063776 , A064355 , A068009 , A061857 , A061865
subtract if you can else add: see Recaman's sequence
subtract-a-prime: see take-a-prime
subtract-a-square: see take-a-square
subway stops: A000053 A000054 A001049 A007826
subwords: A005943 A006697 A050186 A050430 A050431 A050432 A050433 A051168
Such sequence: see Perrin sequence
sudokus: A107739 , A109741
suitable numbers: A000926 *
sum of digits in powers of m: A001370 (2^n), A004166 (3^n), A065713 (4^n), A066001 (5^n), A066002 (6^n), A066003 (7^n), A066004 (8^n), A065999 (9^n), A066005 (11^n), A066006 (12^n)
sum of digits, n times: A057147 , A003634 , A005349 , A037478 , A052489 , A052490 , A052491
sum of digits, see also: A003132 , A006287 , A007471
sum of digits: A007953 *, A010888 * (digital root)
sum-free subsets: A007865 , A085489
summarize previous term: A005151 *
sums of squares and sums of cubes , sequences related to (start): (see especially about 16 lines below)
sums of 16 squares, number of ways of writing as: A000152 *
sums of 2 cubes: A003325 *, A004999 *: not: A022555 ; A024670 (a^3+b^3, a>b>0), A135998
sums of 2 squares, number of ways of writing as: A000161 *, A002654 *, A004018 *
sums of 2 squares, see also under entries for: x^2+y^2 <= n
sums of 2 squares: A001481 *, A000404 *, A000415 *, A002313 * (primes), A022544 (not)
sums of 24 squares, number of ways of writing as: A000156 *
sums of 3 cubes: A004825 *, A003072 *, A024981 *, A047702 *, A025395 , A047702 *; not: A022561
sums of 3 squares, number of ways of writing as: A005875 *, A074590 (primitive solutions)
sums of 3 squares: A000378 *, A000419 *, A004215 * (not)
sums of 3 squares: see also A047809
sums of 4 cubes: A004826 ; not: A022566
sums of 4 squares, number of ways of writing as: A000118 *
sums of 4 squares: A004215 *
sums of 4th powers needed to represent n: A046042 *
sums of 5 cubes: A004827 ; not: A069136
sums of 5 squares, number of ways of writing as: A000132 *
sums of 6 cubes: A004828 , A046040 ; not: A069137
sums of 6 squares, number of ways of writing as: A000141 *
sums of 7 cubes: A004829 , A018890 ; not: A018888
sums of 7 squares, number of ways of writing as: A008451 *
sums of 8 cubes: A018889
sums of 8 or 9 cubes: A018888
sums of 8 squares, number of ways of writing as: A000143 *
sums of 9 squares, number of ways of writing as: A008452 *
sums of consecutives squares give squares: A001032
sums of distinct cubes: A003997 , A001476 (not)
sums of distinct squares: A003995 , A001422 (not)
Sums of divisors:: A005100 , A002093 , A007497 , A002192 , A007503 , A007369 , A001065 , A007370 , A000203 *, A006872 , A006532 , A000593 , A003624 , A001157 , A005835 , A007594 , A007691 , A001158 , A007371 , A007368 , A007365 , A001159 , A007592 , A007593 , A007372 , A007373 , A001160
Sums of powers:: A005792 , A001481 , A000537 , A000538 , A000539 , A000540 , A002309 , A000541 , A002594 , A000542 , A003294 , A007487
sums of squares needed to represent n: A002828 *
sums of squares, sequences related to (01): A000118 A000132 A000141 A000143 A000144 A000145 A000152 A000156 A000404 A000408 A000414 A000415
sums of squares, sequences related to (02): A000419 A000437 A000443 A000446 A000448 A000451 A000534 A000548 A000549 A000925 A001032 A001422
sums of squares, sequences related to (03): A001481 A001944 A001948 A001974 A001983 A001995 A002654 A003995 A003996 A004018 A004144 A004195
sums of squares, sequences related to (04): A004196 A004214 A004215 A004431 A004432 A004433 A004434 A004435 A004436 A004437 A004438 A004439
sums of squares, sequences related to (05): A004440 A004441 A005792 A005875 A006431 A006456 A006532 A007475 A007667 A007692 A008451 A008452
sums of squares, sequences related to (06): A008453 A009000 A009003 A014110 A016032 A018820 A018821 A018822 A018823 A018824 A018825 A020893
sums of squares, sequences related to (07): A022544 A022551 A022552 A024507 A024508 A024509 A024795 A024803 A024804 A025284 A025285 A025286
sums of squares, sequences related to (08): A025287 A025288 A025289 A025290 A025291 A025292 A025293 A025294 A025295 A025296 A025297 A025298
sums of squares, sequences related to (09): A025299 A025300 A025301 A025302 A025303 A025304 A025305 A025306 A025307 A025308 A025309 A025310
sums of squares, sequences related to (10): A025311 A025312 A025313 A025314 A025315 A025316 A025317 A025318 A025319 A025320 A025321 A025322
sums of squares, sequences related to (11): A025323 A025324 A025325 A025326 A025327 A025328 A025329 A025330 A025331 A025332 A025333 A025334
sums of squares, sequences related to (12): A025335 A025336 A025337 A025338 A025339 A025340 A025341 A025342 A025343 A025344 A025345 A025346
sums of squares, sequences related to (13): A025347 A025348 A025349 A025350 A025351 A025352 A025353 A025354 A025355 A025356 A025357 A025358
sums of squares, sequences related to (14): A025359 A025360 A025361 A025362 A025363 A025364 A025365 A025366 A025367 A025368 A025369 A025370
sums of squares, sequences related to (15): A025371 A025372 A025373 A025374 A025375 A025376 A025377 A025378 A025379 A025380 A025381 A025382
sums of squares, sequences related to (16): A025383 A025384 A025385 A025386 A025387 A025388 A025389 A025390 A025391 A025392 A025393 A025394
sums of squares, sequences related to (17): A025414 A025415 A025416 A025417 A028237 A034705 A045698 A045702 A046711 A046712 A047700 A047701
sums of squares, sequences related to (18): A048250 A048261 A048395 A048610 A050795 A050796 A050797 A050798 A050802 A050803 A050804 A051952
sums of squares, sequences related to (19): A052199 A052261 A054321 A000161 A000603 A005653 A047808
sums of tetrahedral numbers: A000797 , A104246
sums of two distinct prime cubes: A120398
Sum_{k = 0..n} (not sum_k^n, sum for k from 0 to n, etc.)
super-abundant numbers: A004394
superabundant numbers: A004394
superfactorials: A000178 *
superior highly composite numbers: A002201
Superpositions of cycles:: A003223 , A003225 , A003224
superqueens: A007631 , A051223 , A051224
supersingular primes: A006962
supertangrams: A006074
supertough: A007036
Surfaces:: A000703 , A000934
susceptibility (1): A002166 A002168 A002170 A002906 A002907 A002910 A002911 A002912 A002913 A002914 A002915 A002919
susceptibility (2): A002920 A002921 A002923 A002924 A002925 A002926 A002927 A002978 A002979 A003119 A003194 A003195
susceptibility (3): A003220 A003279 A003488 A003489 A003490 A003491 A003492 A003493 A003494 A003495 A005399 A005401
susceptibility (4): A007214 A007215 A007216 A007217 A007218 A007277 A007278 A007287 A007288 A008547 A008574 A010039
susceptibility (5): A010040 A010041 A010042 A010043 A010044 A010045 A010046 A010047 A010115 A010116 A010117 A010118
susceptibility (6): A010119 A010556 A010579 A010580 A030008 A030046 A054275 A054389 A054410 A054764 A055856 A055857