A038331 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*5^j.

1, 12, 5, 144, 120, 25, 1728, 2160, 900, 125, 20736, 34560, 21600, 6000, 625, 248832, 518400, 432000, 180000, 37500, 3125, 2985984, 7464960, 7776000, 4320000, 1350000, 225000, 15625, 35831808, 104509440, 130636800, 90720000, 37800000, 9450000, 1312500, 78125

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

Prog

(Python)
from sympy import binomial
def T(i, j): return binomial(i, j)*12**(i-j)*5**j
print([T(i, j) for i in range(8) for j in range(i+1)]) # Michael S. Branicky, Dec 05 2021

Crossrefs

Sequence in context: A278661 A280614 A281041 * A028578 A013680 A033963

Adjacent sequences: A038328 A038329 A038330 * A038332 A038333 A038334

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane

Status

approved