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Binomial transform of heptagonal numbers A000566.
3

%I #5 Jun 13 2015 00:51:05

%S 0,1,9,42,152,480,1392,3808,9984,25344,62720,152064,362496,851968,

%T 1978368,4546560,10354688,23396352,52494336,117047296,259522560,

%U 572522496,1257242624,2749366272,5989466112,13002342400,28135391232

%N Binomial transform of heptagonal numbers A000566.

%C Binomial transform is A084900. 2nd binomial transform of (0,1,5,0,0,0,....).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-12,8).

%F G.f.: x(1 + 3x)/(1 - 2x)^3; a(n)=2^(n - 2)*n(5n - 1)/2.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Jun 10 2003