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Search: id:A096039
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| A096039 |
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Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^5-M)/4, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n. |
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1
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| 1, 6, 2, 31, 18, 3, 156, 124, 36, 4, 781, 780, 310, 60, 5, 3906, 4686, 2340, 620, 90, 6, 19531, 27342, 16401, 5460, 1085, 126, 7, 97656, 156248, 109368, 43736, 10920, 1736, 168, 8, 488281, 878904, 703116, 328104, 98406, 19656, 2604, 216, 9, 2441406
(list; table; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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Triangle begins:
1
6 2
31 18 3
156 124 36 4
781 780 310 60 5
3906 4686 2340 620 90 6
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MAPLE
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P:= proc(n) option remember; local M; M:= Matrix (n, (i, j)-> binomial (i-1, j-1)); (M^5-M)/4 end: T:= (n, k)-> P(n+1) [n+1, k]: seq (seq (T (n, k), k=1..n), n=1..11); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009]
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CROSSREFS
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Cf. A007318. First column gives A003463. Row sums give A016129.
Adjacent sequences: A096036 A096037 A096038 this_sequence A096040 A096041 A096042
Sequence in context: A036173 A142707 A084249 this_sequence A038256 A100251 A020339
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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EXTENSIONS
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Edited with more terms and Maple program by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009
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