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Triangle whose (i,j)-th entry is binomial(i,j)*9^(i-j)*10^j.
0

%I #7 Apr 29 2019 22:17:26

%S 1,9,10,81,180,100,729,2430,2700,1000,6561,29160,48600,36000,10000,

%T 59049,328050,729000,810000,450000,100000,531441,3542940,9841500,

%U 14580000,12150000,5400000,1000000,4782969,37200870,124002900,229635000

%N Triangle whose (i,j)-th entry is binomial(i,j)*9^(i-j)*10^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 Flatten[Table[Binomial[i,j]9^(i-j) 10^j,{i,0,10},{j,0,i}]] (* _Harvey P. Dale_, Apr 29 2019 *)

%K nonn,tabl,easy

%O 0,2

%A _N. J. A. Sloane_.