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Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*9^j.
0

%I #7 May 18 2023 13:24:56

%S 1,5,9,25,90,81,125,675,1215,729,625,4500,12150,14580,6561,3125,28125,

%T 101250,182250,164025,59049,15625,168750,759375,1822500,2460375,

%U 1771470,531441,78125,984375,5315625,15946875,28704375,31000725

%N Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*9^j.

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

%t Table[Binomial[i,j]5^(i-j) 9^j,{i,0,10},{j,0,i}]//Flatten (* _Harvey P. Dale_, May 18 2023 *)

%K nonn,tabl,easy

%O 0,2

%A _N. J. A. Sloane_.