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Search: id:A008969
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| A008969 |
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Triangle of differences of reciprocals of unity. |
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+0
16
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| 1, 1, 3, 1, 11, 7, 1, 50, 85, 15, 1, 274, 1660, 575, 31, 1, 1764, 48076, 46760, 3661, 63, 1, 13068, 1942416, 6998824, 1217776, 22631, 127, 1, 109584, 104587344, 1744835904, 929081776, 30480800, 137845, 255
(list; table; graph; listen)
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OFFSET
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1,3
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REFERENCES
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F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228.
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..1081
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MAPLE
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T:= (n, k)-> `if`(k<=n, (n-k+2)!^k *sum ((-1)^(j+1) *binomial(n-k+2, j)/ j^k, j=1..n-k+2), 0): seq (seq (T(n, k), k=0..n), n=0..7); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 05 2008]
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CROSSREFS
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Cf. A001236, A001237, A001238, A001240, A001241, A001242.
Columns include A000254, A000424, A001236, A001237, A001238. Right-hand columns include A000225, A001240, A001241, A001242.
Sequence in context: A111965 A110440 A135574 this_sequence A119908 A153257 A002185
Adjacent sequences: A008966 A008967 A008968 this_sequence A008970 A008971 A008972
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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