A038330 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*4^j.

1, 12, 4, 144, 96, 16, 1728, 1728, 576, 64, 20736, 27648, 13824, 3072, 256, 248832, 414720, 276480, 92160, 15360, 1024, 2985984, 5971968, 4976640, 2211840, 552960, 73728, 4096, 35831808, 83607552, 83607552, 46448640, 15482880

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[i, j]*12^(i - j)* 4^j, {i, 0, 10}, {j, 0, i}] // Flatten (* Michael De Vlieger, May 22 2026 *)

Crossrefs

Sequence in context: A327972 A047709 A002911 * A144630 A107670 A157782

Adjacent sequences: A038327 A038328 A038329 * A038331 A038332 A038333

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane

Status

approved