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A095675 Triangle read by rows, formed from product of Aitken's (or Bell's) triangle (A011971) and Pascal's triangle (A007318). 2
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; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

These triangles are to be thought of as infinite lower-triangular matrices.

LINKS

Table of n, a(n) for n=0..41.

EXAMPLE

Triangle begins:

1

3 2

10 13 5

37 72 55 15

151 393 450 245 52

MATHEMATICA

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]] (* Robert G. Wilson v, Jul 12 2004 *)

CROSSREFS

Cf. A007318, A011971, A095674. Row sums give A095676. First column is A005493.

Sequence in context: A019242 A064367 A113980 * A226442 A300374 A256063

Adjacent sequences:  A095672 A095673 A095674 * A095676 A095677 A095678

KEYWORD

nonn,tabl,easy

AUTHOR

N. J. A. Sloane, based on a suggestion from Gary W. Adamson, Jun 22 2004

EXTENSIONS

More terms from Robert G. Wilson v, Jul 13 2004

STATUS

approved

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Last modified April 21 04:56 EDT 2019. Contains 322310 sequences. (Running on oeis4.)