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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| 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
| 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); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009]
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CROSSREFS
| Cf. A007318. First column gives A003464. Row sums give A016130.
Sequence in context: A030406 A195587 A096900 * A038268 A100983 A103237
Adjacent sequences: A096037 A096038 A096039 * A096041 A096042 A096043
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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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