A038333 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*7^j.

1, 12, 7, 144, 168, 49, 1728, 3024, 1764, 343, 20736, 48384, 42336, 16464, 2401, 248832, 725760, 846720, 493920, 144060, 16807, 2985984, 10450944, 15240960, 11854080, 5186160, 1210104, 117649, 35831808, 146313216, 256048128, 248935680

Offset

0,2

Links

Michael De Vlieger, Table of n, a(n) for n = 0..11475 (rows n = 0..150, 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).

Mathematica

Table[Binomial[n, k]*12^(n - k)*7^k, {n, 0, 10}, {k, 0, n}] // Flatten (* Michael De Vlieger, May 21 2026 *)

Crossrefs

Sequence in context: A305939 A206423 A319406 * A185259 A090438 A346223

Adjacent sequences: A038330 A038331 A038332 * A038334 A038335 A038336

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane

Status

approved