Search: id:A112415
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%I A112415
%S A112415 12,60,180,420,840,1512,2520,3960,5940,8580,12012,16380,21840,28560,
%T A112415 36720,46512,58140,71820,87780,106260,127512,151800,179400,210600,
%U A112415 245700,285012,328860,377580,431520
%N A112415 C(1+n,1)*C(2+n,1)*C(4+n,2).
%F A112415 a(n)=(n+1)(n+2)(n+3)(n+4)/2=A033486(n+1)=12*A000332(n+4). O.g.f.: 12/
               (1-x)^5. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 15 
               2008]
%e A112415 If n=0 then C(1+0,1)*C(2+0,1)*C(4+0,2)= C(1,1)*C(2,1)*C(4,2)=1*2*6=12
%e A112415 if n=10 then C(1+10,1)*C(2+10,1)*C(4+10,2)= C(11,1)*C(12,1)*C(14,2)=11*12*91=12012
%p A112415 a:=n->add(binomial(n,2)+add(binomial(n,2), j=0..n),j=0..n):seq(a(n), 
               n=2..30); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 
               26 2008]
%Y A112415 Sequence in context: A000141 A008530 A033486 this_sequence A061624 A004302 
               A000554
%Y A112415 Adjacent sequences: A112412 A112413 A112414 this_sequence A112416 A112417 
               A112418
%K A112415 easy,nonn
%O A112415 0,1
%A A112415 Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 09 2005

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