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A005475 n*(5n+1)/2. +0
5
0, 3, 11, 24, 42, 65, 93, 126, 164, 207, 255, 308, 366, 429, 497, 570, 648, 731, 819, 912, 1010, 1113, 1221, 1334, 1452, 1575, 1703, 1836, 1974, 2117, 2265, 2418, 2576, 2739, 2907, 3080, 3258, 3441, 3629 (list; graph; listen)
OFFSET

0,2

COMMENT

Polynomials in A099174 evaluated at x=2.

LINKS

A. Horzela, P. Blasiak, G. E. H. Duchamp, K. A. Penson and A. I. Solomon, A product formula and combinatorial field theory

FORMULA

a(n)=5*n+a(n-1)-7 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]

EXAMPLE

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]

MAPLE

seq(binomial(5*n+1, 2)/5, n=0..34); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 21 2007

a:=n->sum(2*n+j, j=1..n): seq(a(n), n=0..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2007

MATHEMATICA

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]

CROSSREFS

a(n) = A110449(n, 2) for n>1.

Sequence in context: A168163 A120088 A081737 this_sequence A141595 A112051 A118436

Adjacent sequences: A005472 A005473 A005474 this_sequence A005476 A005477 A005478

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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