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Search: id:A096043
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| A096043 |
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Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^9-M)/8, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n. |
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1
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| 1, 10, 2, 91, 30, 3, 820, 364, 60, 4, 7381, 4100, 910, 100, 5, 66430, 44286, 12300, 1820, 150, 6, 597871, 465010, 155001, 28700, 3185, 210, 7, 5380840, 4782968, 1860040, 413336, 57400, 5096, 280, 8, 48427561, 48427560, 21523356, 5580120, 930006
(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
10 2
91 30 3
820 364 60 4
7381 4100 910 100 5
66430 44286 12300 1820 150 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^9-M)/8 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 A002452. Row sums give A016134.
Sequence in context: A086068 A030595 A094715 this_sequence A001202 A054841 A038304
Adjacent sequences: A096040 A096041 A096042 this_sequence A096044 A096045 A096046
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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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