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Search: id:A120328
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| 2, 5, 14, 29, 50, 77, 110, 149, 194, 245, 302, 365, 434, 509, 590, 677, 770, 869, 974, 1085, 1202, 1325, 1454, 1589, 1730, 1877, 2030, 2189, 2354, 2525, 2702, 2885, 3074, 3269, 3470, 3677, 3890, 4109, 4334, 4565, 4802, 5045, 5294, 5549, 5810, 6077, 6350
(list; graph; listen)
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OFFSET
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-1,1
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FORMULA
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a(n)=A005918(n+1), n>=0. O.g.f.: (2-x+5x^2)/(x(1-x)^3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008]
a(n)=6*n+a(n-1)-9 (with a(1)=2) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 17 2009]
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EXAMPLE
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For n=2, a(2)=6*2+2-9=5; n=3, a(3)=6*3+5-9=14; n=4, a(4)=6*4+14-9=29 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 17 2009]
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MAPLE
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[seq (n^2+(n+1)^2+(n+2)^2, n=-1..45)];
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MATHEMATICA
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lst={}; Do[a=(n^2+(n+1)^2+(n+2)^2); AppendTo[lst, a], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 25 2009]
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PROGRAM
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sage: [i^2+(i+1)^2+(i+2)^2 for i in xrange(-1, 46)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
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CROSSREFS
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Cf. A027602.
Sequence in context: A022630 A047133 A031874 this_sequence A026011 A022913 A056358
Adjacent sequences: A120325 A120326 A120327 this_sequence A120329 A120330 A120331
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KEYWORD
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easy,nonn,new
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AUTHOR
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Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 21 2006
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