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Search: id:A095675
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| A095675 |
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Triangle read by rows, formed from product of Aitken's (or Bell's) triangle (A011971) and Pascal's triangle (A007318). |
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+0
3
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| 1, 3, 2, 10, 13, 5, 37, 72, 55, 15, 151, 393, 450, 245, 52, 674, 2202, 3365, 2748, 1166, 203, 3263, 12850, 24582, 26781, 17048, 5936, 877, 17007, 78488, 180477, 245971, 208856, 109107, 32243, 4140, 94828, 502327, 1349900, 2209695, 2346559, 1634998
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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These triangles are to be thought of as infinite lower-triangular matrices.
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EXAMPLE
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Triangle begins:
1
3 2
10 13 5
37 72 55 15
151 393 450 245 52
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MATHEMATICA
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a[0, 0] = 1; a[n_, 0] := a[n - 1, n - 1]; a[n_, k_] := a[n, k] = If[k < n + 1, a[n, k - 1] + a[n - 1, k - 1], 0]; p[n_, r_] := If[r <= n + 1, Binomial[n, r], 0]; am = Table[ a[n, r], {n, 0, 9}, {r, 0, 9}]; pm = Table[p[n, r], {n, 0, 9}, {r, 0, 9}]; t = Flatten[am.pm]; Delete[ t, Position[t, 0]] (from Robert G. Wilson v Jul 12 2004)
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CROSSREFS
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Cf. A007318, A011971, A095674. Row sums give A095676. First column is A005493.
Adjacent sequences: A095672 A095673 A095674 this_sequence A095676 A095677 A095678
Sequence in context: A019242 A064367 A113980 this_sequence A006743 A091811 A075856
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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njas, based on a suggestion from Gary Adamson, Jun 22 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 13 2004
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