A024380 - OEIS

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A024380

4th elementary symmetric function of the first n+3 positive integers congruent to 1 mod 4.

585, 14389, 122119, 633619, 2441334, 7680414, 20836578, 50469738, 111748263, 230015643, 445638193, 820409317, 1445812732, 2453473932, 4028156052, 6423683172, 9982200981, 15157211601, 22540846251, 32895866311, 47192910226, 66653530570

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

FORMULA

a(n) = n*(n+1)*(n+2)*(n+3)*(240*n^4+1920*n^3+4760*n^2+3072*n-1217)/360. G.f.: x*(585+9124*x+13678*x^2+3412*x^3+81*x^4)/(1-x)^9 . - R. J. Mathar, Sep 15 2009

MATHEMATICA

Table[n(n+1)(n+2)(n+3)(240n^4+1920n^3+4760n^2+3072n-1217)/360, {n, 30}] (* Harvey P. Dale, May 29 2019 *)

CROSSREFS

Sequence in context: A250627 A043428 A038486 * A258331 A352979 A022243

Adjacent sequences: A024377 A024378 A024379 * A024381 A024382 A024383

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved