A038329 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*3^j.

1, 12, 3, 144, 72, 9, 1728, 1296, 324, 27, 20736, 20736, 7776, 1296, 81, 248832, 311040, 155520, 38880, 4860, 243, 2985984, 4478976, 2799360, 933120, 174960, 17496, 729, 35831808, 62705664, 47029248, 19595520, 4898880, 734832, 61236

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

Crossrefs

Sequence in context: A258227 A130895 A367431 * A098909 A261403 A010202

Adjacent sequences: A038326 A038327 A038328 * A038330 A038331 A038332

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane

Status

approved