A038336 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*10^j.

1, 12, 10, 144, 240, 100, 1728, 4320, 3600, 1000, 20736, 69120, 86400, 48000, 10000, 248832, 1036800, 1728000, 1440000, 600000, 100000, 2985984, 14929920, 31104000, 34560000, 21600000, 7200000, 1000000, 35831808, 209018880

Offset

0,2

Links

Robert Israel, Table of n, a(n) for n = 0..10010 (rows 0 to 140, flattened)

Bjorg N. Cyvin, Jon Brunvoll, and Sven J. Cyvin, Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), 109-121.

Bulat Khaidarov, Enumeration of Certain k-Block Partitions of Barry, J. Int. Seq. 29 (2026), Art. 26.2.8. See p. 6 (Table 2).

Formula

G.f. as triangle: 1/(1-x*(10*y+12)). - Robert Israel, Apr 30 2019

Maple

seq(seq(binomial(i, j)*12^(i-j)*10^j, j=0..i), i=0..15); # Robert Israel, Apr 30 2019

Mathematica

Table[Binomial[n, k]12^(n-k) 10^k, {n, 0, 10}, {k, 0, n}]//Flatten (* Harvey P. Dale, Aug 26 2021 *)

Crossrefs

Sequence in context: A307166 A297910 A298503 * A236506 A389419 A087868

Adjacent sequences: A038333 A038334 A038335 * A038337 A038338 A038339

Keyword

nonn,tabl,easy,look

Author

N. J. A. Sloane

Status

approved