A038287 Triangle whose (i,j)-th entry is binomial(i,j)*8^(i-j)*9^j.

1, 8, 9, 64, 144, 81, 512, 1728, 1944, 729, 4096, 18432, 31104, 23328, 6561, 32768, 184320, 414720, 466560, 262440, 59049, 262144, 1769472, 4976640, 7464960, 6298560, 2834352, 531441, 2097152, 16515072, 55738368, 104509440, 117573120, 79361856, 29760696, 4782969

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• tabl
• easy
• changed

Examples

			Triangle begins as:
     1;
     8,     9;
    64,   144,    81;
   512,  1728,  1944,   729;
  4096, 18432, 31104, 23328, 6561;
  ...
		

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. A001018 (1st column), A001019 (diagonal), A001026 (row sums).

Programs

Mathematica

T[i_,j_]:=Binomial[i,j]*8^(i-j)*9^j; Table[T[i,j],{i,0,7},{j,0,i}]//Flatten (* Stefano Spezia, Sep 05 2025 *)

Extensions

a(32)-a(35) from Stefano Spezia, Sep 05 2025