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A153056 a=2,a(n)=n^2+a. +0
12
2, 3, 7, 16, 32, 57, 93, 142, 206, 287, 387, 508, 652, 821, 1017, 1242, 1498, 1787, 2111, 2472, 2872, 3313, 3797, 4326, 4902, 5527, 6203, 6932, 7716, 8557, 9457, 10418, 11442, 12531, 13687, 14912, 16208, 17577, 19021, 20542, 22142, 23823, 25587 (list; graph; listen)
OFFSET

1,1

FORMULA

With offset 0: G.f.: (2-5x+7x^2-2x^3)/(1-x)^4. a(n)=2+n(1+2n^2+3n)/6 = 2+A000330(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 08 2009]

MATHEMATICA

a=2; lst={}; Do[a=n^2+a; AppendTo[lst, a], {n, 0, 5!}]; lst

CROSSREFS

Cf. A056520

Sequence in context: A058698 A058699 A049956 this_sequence A081207 A027118 A114582

Adjacent sequences: A153053 A153054 A153055 this_sequence A153057 A153058 A153059

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 17 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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