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A024213
a(n) = 3rd elementary symmetric function of first n+2 positive integers congruent to 1 mod 3.
6
28, 418, 2485, 9605, 28700, 72128, 159978, 322770, 604560, 1066450, 1790503, 2884063, 4484480, 6764240, 9936500, 14261028, 20050548, 27677490, 37581145, 50275225, 66355828, 86509808, 111523550, 142292150, 179829000, 225275778
OFFSET
1,1
LINKS
FORMULA
a(n) = n*(n+1)*(n+2)*(3n+5)*(9n^2+21*n-2)/48.
G.f. -x*(28+222*x+147*x^2+8*x^3) / (x-1)^7 . - R. J. Mathar, Oct 08 2011
From Wolfdieter Lang, Jul 30 2017: (Start)
E.g.f.: x*exp(x)*(1344 + 8688*x + 10520*x^2 + 4122*x^3 + 594*x^4 + 27*x^5)/48.
a(n) = A286718(n+2, n-1), n >= 1. (End)
PROG
(Magma) [n*(n+1)*(n+2)*(3*n+5)*(9*n^2+21*n-2)/48: n in [1..30]]; // Vincenzo Librandi, Oct 10 2011
CROSSREFS
Cf. A286718.
Sequence in context: A278009 A233333 A271793 * A004415 A096949 A093974
KEYWORD
nonn,easy
STATUS
approved