Index to OEIS (Section Tu)
Turing machines , sequences related to (start):
Turing machines which halt: A004147
*
Turing machines: A052200
, A079365
Turing machines: see also Busy Beaver problem
Turkish: A057435
Turkish: see also Index entries for sequences related to number of letters in n
twin primes conjecture: see also A093483
twin primes constant: A065645
(continued fraction), A005597
(decimal expansion), A065646
(denominators of convergents to twin prime constant), A065647
(numerators), A062270
, A062271
; A065421
(sum of reciprocals of twin primes)
twin primes, sequences related to (start):
twin primes: see also primes, twin
two consecutive residues: A000236
two-way infinite sequences sequences related to (start):
two-way infinite sequences (01): Many sequences can be extended backwards in a natural way. For example, the Fibonacci numbers (A000045
) extend backards to give the two-way infinite sequence
two-way infinite sequences (02): ..., -21, 13, -8, 5, -3, 2, -1, 1, 0, 1, 1, 2, 3, 5, 8, 13, 21, ..., satisfying F(n) = F(n-1) + F(n-2) = -(-1)^n F(-n) for all n. The backwards portion here is the same sequence but with signs, which is quite common, but in general a different sequence is obtained.
two-way infinite sequences (03): The following is a list of two-way infinite sequences. A pair in parentheses indicates that the backwards and forwards sequences are different. This entry is based on communications from Michael Somos.
two-way infinite sequences (04): A000032
A000045
A000096
A000217
A000290
A000292
A000330
A000330
A000447
A001075
A001108
A001109
two-way infinite sequences (05): A001541
A001570
A001653
A001654
A001687
A001840
A001844
A001871
A001906
A002315
A002492
A002530
two-way infinite sequences (06): A002620
A003499
A004524
A004525
A005044
A005248
A005686
A005900
A006221
A006368
A006368
A006369
two-way infinite sequences (07): A006498
A006720
A006721
A006722
A006723
A006723
A006769
A007531
A007598
A007980
A008500
A008616
two-way infinite sequences (08): A008669
A008805
A011655
A011783
A014125
A014523
A014696
A027468
A028242
A029011
A029153
A029177
two-way infinite sequences (09): A029341
A030267
A030451
A035007
A039959
A047273
A047588
A048736
A051111
A051263
A054318
A056925
two-way infinite sequences (10): A058232
A059029
A059502
A060544
A063208
A064268
A065113
A074061
A075839
A077982
A078495
A078529
two-way infinite sequences (11): A080891
A081555
A082290
A082291
A083039
A083040
A083043
A084964
A089498
A092695
A092886
A093178
two-way infinite sequences (12): A096386
A099270
A102276
A103221
A105371
two-way infinite sequences (13): (A000326
, A005449
) (A000384
, A014105
) (A001652
, A046090
) (A002316
, A002317
) (A002411
, A006002
) (A003269
, A017817
)
two-way infinite sequences (14): (A029578
, A065423
) (A048739
, A077921
) (A051792
, A053602
) (A070893
, A082289
) (A105426
, A144479
)
two-way splittings of integers: A000028
, A000379
two-way splittings of integers: see also Beatty sequences
twopins positions: A005682
A005683
A005684
A005685
A005686
A005687
A005688
A005689
A005690
A005691
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