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Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*5^j.
1

%I #11 Aug 26 2020 16:40:39

%S 1,6,5,36,60,25,216,540,450,125,1296,4320,5400,3000,625,7776,32400,

%T 54000,45000,18750,3125,46656,233280,486000,540000,337500,112500,

%U 15625,279936,1632960,4082400,5670000,4725000,2362500,656250,78125

%N Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*5^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.

%H Harvey P. Dale, <a href="/A038259/b038259.txt">Table of n, a(n) for n = 0..1000</a>

%e 1

%e 6 5

%e 36 60 25

%e 216 540 450 125

%e 1296 4320 5400 3000 625

%e 7776 32400 54000 45000 18750 3125

%t Table[Binomial[k,m]6^(k-m) 5^m,{k,0,10},{m,0,k}]//Flatten (* _Harvey P. Dale_, Aug 26 2020 *)

%Y Cf. A001020 (row sums).

%K nonn,tabl,easy

%O 0,2

%A _N. J. A. Sloane_.