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A056520 (n+2)*(2*n^2-n+3)/6 +0
14
1, 2, 6, 15, 31, 56, 92, 141, 205, 286, 386, 507, 651, 820, 1016, 1241, 1497, 1786, 2110, 2471, 2871, 3312, 3796, 4325, 4901, 5526, 6202, 6931, 7715, 8556, 9456, 10417, 11441, 12530, 13686, 14911, 16207, 17576, 19020, 20541, 22141, 23822 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) = A000330(n)+1.

Hankel transform of A030238. - Paul Barry (pbarry(AT)wit.ie), Oct 16 2007

FORMULA

a(n)=a(n-1)+n^2.

MAPLE

a:=n->sum ((j-n+1)^2, j=1..n): seq(a(n), n=2..43); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 17 2006

MATHEMATICA

a[n_]:=(n+2)*(2*n^2-n+3)/6; ...and/or...a=1; lst={}; Do[a=n^2+a; AppendTo[lst, a], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 17 2008]

s = 1; lst = {s}; Do[s += n^2; AppendTo[lst, s], {n, 1, 41, 1}]; lst [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]

CROSSREFS

Sequence in context: A098651 A087427 A141126 this_sequence A078406 A101352 A095380

Adjacent sequences: A056517 A056518 A056519 this_sequence A056521 A056522 A056523

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Laura Kasavan (maui12129(AT)cswebmail.com), Aug 26 2000

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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