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A096040
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Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^6-M)/5, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n.
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1
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1, 7, 2, 43, 21, 3, 259, 172, 42, 4, 1555, 1295, 430, 70, 5, 9331, 9330, 3885, 860, 105, 6, 55987, 65317, 32655, 9065, 1505, 147, 7, 335923, 447896, 261268, 87080, 18130, 2408, 196, 8, 2015539, 3023307, 2015532, 783804, 195930, 32634, 3612, 252, 9
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OFFSET
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1,2
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LINKS
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EXAMPLE
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Triangle begins:
1;
7, 2;
43, 21, 3;
259, 172, 42, 4;
1555, 1295, 430, 70, 5;
9331, 9330, 3885, 860, 105, 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^6-M)/5 end: T:= (n, k)-> P(n+1)[n+1, k]: seq(seq(T(n, k), k=1..n), n=1..11); # Alois P. Heinz, Oct 07 2009
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MATHEMATICA
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max = 11; M = Table[If[k > n, 0, Binomial[n, k]], {n, 0, max}, {k, 0, max} ];
T = (MatrixPower[M, 6] - M)/5;
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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