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Search: id:A096042
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| A096042 |
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Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^8-M)/7, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n. |
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1
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| 1, 9, 2, 73, 27, 3, 585, 292, 54, 4, 4681, 2925, 730, 90, 5, 37449, 28086, 8775, 1460, 135, 6, 299593, 262143, 98301, 20475, 2555, 189, 7, 2396745, 2396744, 1048572, 262136, 40950, 4088, 252, 8, 19173961, 21570705, 10785348, 3145716, 589806
(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
9 2
73 27 3
585 292 54 4
4681 2925 730 90 5
37449 28086 8775 1460 135 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^8-M)/7 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 A023001. Row sums give A016133.
Sequence in context: A098289 A152020 A055516 this_sequence A038292 A094127 A021522
Adjacent sequences: A096039 A096040 A096041 this_sequence A096043 A096044 A096045
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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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