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A103290 n*(n-1)*(n^2-n+4)/6. +0
1
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; listen)
OFFSET

0,3

COMMENT

Arises in studying the Goldbach conjecture.

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]

FORMULA

G.f.:-2*x^2*(x^2+1)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009]

CROSSREFS

Sequence in context: A024456 A050927 A011921 this_sequence A131068 A034555 A084154

Adjacent sequences: A103287 A103288 A103289 this_sequence A103291 A103292 A103293

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 03 2006

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.


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