Search: id:A005475
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%I A005475
%S A005475 0,3,11,24,42,65,93,126,164,207,255,308,366,429,497,570,
%T A005475 648,731,819,912,1010,1113,1221,1334,1452,1575,1703,1836,
%U A005475 1974,2117,2265,2418,2576,2739,2907,3080,3258,3441,3629
%N A005475 n*(5n+1)/2.
%C A005475 Polynomials in A099174 evaluated at x=2.
%H A005475 A. Horzela, P. Blasiak, G. E. H. Duchamp, K. A. Penson and A. I. Solomon, 
               <a href="http://arXiv.org/abs/quant-ph/0409152">A product formula 
               and combinatorial field theory</a>
%F A005475 a(n)=5*n+a(n-1)-7 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 12 2009]
%e A005475 For n=2, a(2)=5*2+0-7=3; n=3, a(3)=5*3+3-7=11; n=4, a(4)=5*4+11-7=24 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
%p A005475 seq(binomial(5*n+1,2)/5, n=0..34); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jan 21 2007
%p A005475 a:=n->sum(2*n+j, j=1..n): seq(a(n), n=0..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 29 2007
%t A005475 s=0;lst={s};Do[s+=n++ +3;AppendTo[lst, s], {n, 0, 6!, 5}];lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
%Y A005475 a(n) = A110449(n, 2) for n>1.
%Y A005475 Sequence in context: A081857 A120088 A081737 this_sequence A141595 A112051 
               A118436
%Y A005475 Adjacent sequences: A005472 A005473 A005474 this_sequence A005476 A005477 
               A005478
%K A005475 nonn
%O A005475 0,2
%A A005475 N. J. A. Sloane (njas(AT)research.att.com).

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