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A024379 a(n) = 3rd elementary symmetric function of the first n+2 positive integers congruent to 1 mod 4. 4
45, 812, 5130, 20460, 62335, 158760, 355572, 722760, 1361745, 2413620, 4068350, 6574932, 10252515, 15502480, 22821480, 32815440, 46214517, 63889020, 86866290, 116348540, 153731655, 200624952, 258871900, 330571800, 418102425, 524143620 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..26.

FORMULA

From R. J. Mathar, Sep 15 2009: (Start)

a(n) = n*(2*n+3)*(n+2)*(n+1)*(4*n^2+8*n-3)/6.

G.f.: (27*x^3+391*x^2+497*x+45)*x/(1-x)^7. (End)

MAPLE

S := proc(n, L) mul(x+i, i=L) ; expand(%) ; coeftayl(%, x=0, nops(L)-n) ; end: A024379 := proc(n) S(3, [seq(4*j+1, j=0..n+1)]) ; end: seq(A024379(n), n=1..40) ; # R. J. Mathar, Sep 15 2009

CROSSREFS

Sequence in context: A099632 A264138 A293971 * A134290 A078761 A034967

Adjacent sequences:  A024376 A024377 A024378 * A024380 A024381 A024382

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified January 24 10:33 EST 2020. Contains 331193 sequences. (Running on oeis4.)