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A038336 Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*10^j. 1

%I #14 Aug 26 2021 17:42:45

%S 1,12,10,144,240,100,1728,4320,3600,1000,20736,69120,86400,48000,

%T 10000,248832,1036800,1728000,1440000,600000,100000,2985984,14929920,

%U 31104000,34560000,21600000,7200000,1000000,35831808,209018880

%N Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*10^j.

%H Robert Israel, <a href="/A038336/b038336.txt">Table of n, a(n) for n = 0..10010</a> (rows 0 to 140, flattened)

%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. as triangle: 1/(1-x*(10*y+12)). - _Robert Israel_, Apr 30 2019

%p seq(seq(binomial(i,j)*12^(i-j)*10^j,j=0..i),i=0..15); # _Robert Israel_, Apr 30 2019

%t Table[Binomial[n,k]12^(n-k) 10^k,{n,0,10},{k,0,n}]//Flatten (* _Harvey P. Dale_, Aug 26 2021 *)

%K nonn,tabl,easy,look

%O 0,2

%A _N. J. A. Sloane_.

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)