%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_.