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A008354
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(5*n^2 + 1)*n^2/6.
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1
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0, 1, 14, 69, 216, 525, 1086, 2009, 3424, 5481, 8350, 12221, 17304, 23829, 32046, 42225, 54656, 69649, 87534, 108661, 133400, 162141, 195294, 233289, 276576, 325625, 380926, 442989, 512344, 589541
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Omitting the leading 0, these are the partial sums of the centered icosahedral (or cuboctahedral) numbers (A005902). - Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 14 2006
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FORMULA
| O.g.f.: x(1+x)(x^2+8x+1)/(1-x)^5. a(n)=n*A004068(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2008
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MAPLE
| 5*n^4/6 + n^2/6;
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CROSSREFS
| Cf. A005901, A005902, A008354.
Sequence in context: A071616 A008529 A075480 * A051879 A002423 A201106
Adjacent sequences: A008351 A008352 A008353 * A008355 A008356 A008357
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)
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EXTENSIONS
| Definition corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2008
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