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A037237
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Expansion of (3+x^2)/(1-x)^4.
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2
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3, 12, 31, 64, 115, 188, 287, 416, 579, 780, 1023, 1312, 1651, 2044, 2495, 3008, 3587, 4236, 4959, 5760, 6643, 7612, 8671, 9824, 11075, 12428, 13887, 15456, 17139, 18940, 20863, 22912, 25091, 27404
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1)
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FORMULA
| a(n) = Sum( 2*(k+1)^2 + 1, k = 0..n). - Mike Warburton (mikewarb(AT)gmail.com), Jul 07 2007, Sep 07 2007
a(n) = (n+1)*(2*n^2+7*n+9)/3 . [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 29 2010]
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MATHEMATICA
| f[n_]:=Sum[2*i^2+1, {i, 1, n}]; Table[f[n], {n, 0, 6!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 08 2010]
CoefficientList[Series[(3+x^2)/(1-x)^4, {x, 0, 50}], x] (* From Harvey P. Dale, Mar 6 2011 *)
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CROSSREFS
| Sequence in context: A131936 A009135 A131740 * A005718 A199231 A098500
Adjacent sequences: A037234 A037235 A037236 * A037238 A037239 A037240
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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