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

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