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Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*4^j.
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%I #10 Mar 09 2023 16:32:43

%S 1,6,4,36,48,16,216,432,288,64,1296,3456,3456,1536,256,7776,25920,

%T 34560,23040,7680,1024,46656,186624,311040,276480,138240,36864,4096,

%U 279936,1306368,2612736,2903040,1935360,774144,172032,16384

%N Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*4^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 - 4*x*y). - _Ilya Gutkovskiy_, Apr 21 2017

%t Table[Binomial[i,j]6^(i-j) 4^j,{i,0,10},{j,0,i}]//Flatten (* _Harvey P. Dale_, Mar 09 2023 *)

%K nonn,tabl,easy

%O 0,2

%A _N. J. A. Sloane_.