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A153058 a(0)=4; a(n)=n^2+a(n-1) for n>0. +0
9
4, 5, 9, 18, 34, 59, 95, 144, 208, 289, 389, 510, 654, 823, 1019, 1244, 1500, 1789, 2113, 2474, 2874, 3315, 3799, 4328, 4904, 5529, 6205, 6934, 7718, 8559, 9459, 10420, 11444, 12533, 13689, 14914, 16210, 17579, 19023, 20544, 22144, 23825, 25589 (list; graph; listen)
OFFSET

0,1

FORMULA

G.f.: (4-11x+13x^2-4x^3)/(1-x)^4. a(n)=4+A000330(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 17 2009

MATHEMATICA

a=4; lst={}; Do[a=n^2+a; AppendTo[lst, a], {n, 0, 5!}]; lst

CROSSREFS

Cf. A056520, A153056, A153057

Sequence in context: A051216 A069089 A143096 this_sequence A041032 A041993 A153068

Adjacent sequences: A153055 A153056 A153057 this_sequence A153059 A153060 A153061

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Added indices to definition and corrected offset. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 17 2009

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


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