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A103290
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n*(n-1)*(n^2-n+4)/6.
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0
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0, 0, 2, 10, 32, 80, 170, 322, 560, 912, 1410, 2090, 2992, 4160, 5642, 7490, 9760, 12512, 15810, 19722, 24320, 29680, 35882, 43010, 51152, 60400, 70850, 82602, 95760, 110432, 126730, 144770, 164672, 186560, 210562, 236810, 265440, 296592, 330410, 367042
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Arises in studying the Goldbach conjecture.
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REFERENCES
| P. A. MacMahon, Properties of prime numbers deduced from the calculus of symmetric functions, Proc. London Math. Soc., 23 (1923), 290-316. [Coll. Papers, Vol. II, pp. 354-382] [See p. 301]
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FORMULA
| G.f.:-2*x^2*(x^2+1)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009]
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CROSSREFS
| Sequence in context: A050927 A197302 A011921 * A131068 A034555 A084154
Adjacent sequences: A103287 A103288 A103289 * A103291 A103292 A103293
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 03 2006
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