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A096041
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Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^7-M)/6, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n.
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1
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1, 8, 2, 57, 24, 3, 400, 228, 48, 4, 2801, 2000, 570, 80, 5, 19608, 16806, 6000, 1140, 120, 6, 137257, 137256, 58821, 14000, 1995, 168, 7, 960800, 1098056, 549024, 156856, 28000, 3192, 224, 8, 6725601, 8647200, 4941252, 1647072, 352926, 50400
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| Triangle begins:
1
8 2
57 24 3
400 228 48 4
2801 2000 570 80 5
19608 16806 6000 1140 120 6
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MAPLE
| P:= proc(n) option remember; local M; M:= Matrix (n, (i, j)-> binomial (i-1, j-1)); (M^7-M)/6 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
| Cf. A007318. First column gives A023000. Row sums give A016131.
Sequence in context: A180728 A006708 A179315 * A202625 A038280 A032761
Adjacent sequences: A096038 A096039 A096040 * A096042 A096043 A096044
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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EXTENSIONS
| Edited with more terms and Maple program by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009
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