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Triangle read by rows: T(n,k) = binomial(n,k)*6^(n-k)*6^k, 0<=k<=n.
1

%I #6 Mar 30 2012 16:47:46

%S 1,6,6,36,72,36,216,648,648,216,1296,5184,7776,5184,1296,7776,38880,

%T 77760,77760,38880,7776,46656,279936,699840,933120,699840,279936,

%U 46656,279936,1959552,5878656,9797760,9797760,5878656,1959552,279936,1679616

%N Triangle read by rows: T(n,k) = binomial(n,k)*6^(n-k)*6^k, 0<=k<=n.

%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.

%p seq(seq(binomial(n,k)*6^(n-k)*6^k,k=0..n),n=0..8); (C. Ronaldo)

%K nonn,tabl,easy

%O 0,2

%A _N. J. A. Sloane_.