A103290 n*(n-1)*(n^2-n+4)/6.

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

Offset

0,3

Comments

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]

Links

Table of n, a(n) for n=0..39.

P. A. MacMahon, Properties of prime numbers deduced from the calculus of symmetric functions, Proc. London Math. Soc., 23 (1923), 290-316. = Coll. Papers, II, pp. 354-380.

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: A263782 A011921 A212714 * A131068 A324172 A367704

Adjacent sequences: A103287 A103288 A103289 * A103291 A103292 A103293

Keyword

nonn

Author

N. J. A. Sloane, Dec 03 2006

Status

approved