A038256 Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*2^j.

1, 6, 2, 36, 24, 4, 216, 216, 72, 8, 1296, 1728, 864, 192, 16, 7776, 12960, 8640, 2880, 480, 32, 46656, 93312, 77760, 34560, 8640, 1152, 64, 279936, 653184, 653184, 362880, 120960, 24192, 2688, 128, 1679616, 4478976, 5225472, 3483648

Offset

0,2

Links

Table of n, a(n) for n=0..39.

B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.

Formula

G.f.: 1/(1 - 6*x - 2*x*y). - Ilya Gutkovskiy, Apr 21 2017

Mathematica

Table[Binomial[n, k]6^(n-k) 2^k, {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Aug 01 2021 *)

Crossrefs

Sequence in context: A191703 A096039 A201229 * A242529 A263088 A266231

Adjacent sequences: A038253 A038254 A038255 * A038257 A038258 A038259

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane.

Status

approved