A038335 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*9^j.

1, 12, 9, 144, 216, 81, 1728, 3888, 2916, 729, 20736, 62208, 69984, 34992, 6561, 248832, 933120, 1399680, 1049760, 393660, 59049, 2985984, 13436928, 25194240, 25194240, 14171760, 4251528, 531441, 35831808, 188116992, 423263232

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• tabl
• easy

Examples

			       1
      12        9
     144      216       81
    1728     3888     2916      729
   20736    62208    69984    34992     6561
  248832   933120  1399680  1049760   393660    59049
 2985984 13436928 25194240 25194240 14171760  4251528   531441
		

References

• B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.

Crossrefs

Cf. A009965 (row sums), A001021 (column 0), A001019 (diagonal)

Programs

Maple

A038335 := proc(i,j)
    binomial(i,j)*12^(i-j)*9^j ;
end proc: # R. J. Mathar, Nov 22 2022

Mathematica

Flatten[Table[Binomial[i,j]12^(i-j) 9^j,{i,0,10},{j,0,i}]] (* Harvey P. Dale, Oct 17 2013 *)