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A061222
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a(n) = n^2 + (n + 1)^3 + (n + 2)^4.
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1
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17, 90, 287, 698, 1437, 2642, 4475, 7122, 10793, 15722, 22167, 30410, 40757, 53538, 69107, 87842, 110145, 136442, 167183, 202842, 243917, 290930, 344427, 404978, 473177, 549642, 635015, 729962, 835173, 951362, 1079267, 1219650, 1373297
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
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FORMULA
| G.f.: (2*x^4-7*x^3+7*x^2+5*x+17)/(1-x)^5. [From Zak Seidov (zakseidov(AT)yahoo.com), Oct 02 2010]
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EXAMPLE
| a(1) = 1 + 2^3 + 3^4 = 1 + 8 + 81 = 90.
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MATHEMATICA
| CoefficientList[Normal[Series[(2*x^4-7*x^3+7*x^2+5*x+17)/(1-x)^5, {x, 0, 20}]], x] [From Zak Seidov (zakseidov(AT)yahoo.com), Oct 02 2010]
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PROG
| (MAGMA) [n^2 + (n + 1)^3 + (n + 2)^4: n in [0..40]]; // Vincenzo Librandi, Aug 05 2011
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CROSSREFS
| Sequence in context: A057638 A159676 A061971 * A119783 A199042 A094407
Adjacent sequences: A061219 A061220 A061221 * A061223 A061224 A061225
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KEYWORD
| easy,nonn
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com), May 31 2001
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EXTENSIONS
| Edited by N. J. A. Sloane Jul 19 2009 at the suggestion of Harry Smith.
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