A038258 Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*4^j.

1, 6, 4, 36, 48, 16, 216, 432, 288, 64, 1296, 3456, 3456, 1536, 256, 7776, 25920, 34560, 23040, 7680, 1024, 46656, 186624, 311040, 276480, 138240, 36864, 4096, 279936, 1306368, 2612736, 2903040, 1935360, 774144, 172032, 16384

Offset

0,2

Links

Table of n, a(n) for n=0..35.

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 - 4*x*y). - Ilya Gutkovskiy, Apr 21 2017

Mathematica

Table[Binomial[i, j]6^(i-j) 4^j, {i, 0, 10}, {j, 0, i}]//Flatten (* Harvey P. Dale, Mar 09 2023 *)

Crossrefs

Sequence in context: A354093 A163934 A163939 * A298776 A114330 A098657

Adjacent sequences: A038255 A038256 A038257 * A038259 A038260 A038261

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane.

Status

approved