%I #16 Dec 18 2019 02:03:49

%S 0,1,9,46,184,640,2032,6048,17152,46848,124160,321024,813056,2023424,

%T 4960256,12001280,28704768,67960832,159449088,371064832,857210880,

%U 1967128576,4486856704,10177478656,22968008704,51589939200,115376914432

%N Binomial transform of hexagonal pyramidal numbers A002412.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-24,32,-16).

%F a(n) = n*2^n(2n^2 + 9n + 1)/4!.

%F G.f.: x(1-x)(1+2x)/(1-2x)^4. - _R. J. Mathar_, Oct 23 2008

%o (PARI) a(n) = n*2^n*(2*n^2+9*n+1)/4! \\ _Michel Marcus_, May 18 2013

%Y Cf. A002412.

%Y Cf. A014483, A087076 (partial sums). - _R. J. Mathar_, Oct 23 2008

%K easy,nonn

%O 0,3

%A _Paul Barry_, Jun 27 2003