A038256 - OEIS

%I #10 Aug 01 2021 19:18:02

%S 1,6,2,36,24,4,216,216,72,8,1296,1728,864,192,16,7776,12960,8640,2880,

%T 480,32,46656,93312,77760,34560,8640,1152,64,279936,653184,653184,

%U 362880,120960,24192,2688,128,1679616,4478976,5225472,3483648

%N Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*2^j.

%H B. N. Cyvin et al., <a href="http://match.pmf.kg.ac.rs/electronic_versions/Match34/match34_109-121.pdf">Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons</a>, Match, No. 34 (Oct 1996), pp. 109-121.

%F G.f.: 1/(1 - 6*x - 2*x*y). - _Ilya Gutkovskiy_, Apr 21 2017

%t Table[Binomial[n,k]6^(n-k) 2^k,{n,0,10},{k,0,n}]//Flatten (* _Harvey P. Dale_, Aug 01 2021 *)

%K nonn,tabl,easy

%O 0,2

%A _N. J. A. Sloane_.