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Search: id:A085786
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A085786 A000217(n)+n^3. +0
3
2, 11, 33, 74, 140, 237, 371, 548, 774, 1055, 1397, 1806, 2288, 2849, 3495, 4232, 5066, 6003, 7049, 8210, 9492, 10901, 12443, 14124, 15950, 17927, 20061, 22358, 24824, 27465, 30287, 33296, 36498, 39899, 43505, 47322, 51356, 55613, 60099, 64820 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=n*(2n^2+n+1)/2

MAPLE

a:=n->sum((n^2+j), j=1..n): seq(a(n), n=0..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 27 2006

seq(sum(binomial(n, m), m=1..2)+n^3, n=0..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 19 2008

PROGRAM

(PARI) t(n)=n*(n+1)/2 for(i=1, 40, print1(", "t(i)+i^3))

CROSSREFS

Cf. A000217 [t(n)] A000096 [t(n)+n], A005449 [t(n)+n^2].

a(n) = A110449(n,n).

Sequence in context: A023659 A094792 A031400 this_sequence A034128 A034427 A056368

Adjacent sequences: A085783 A085784 A085785 this_sequence A085787 A085788 A085789

KEYWORD

nonn

AUTHOR

Jon Perry (perry(AT)globalnet.co.uk), Jul 23 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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