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A024378 a(n) = 2nd elementary symmetric function of the first n+1 positive integers congruent to 1 mod 4. 5
5, 59, 254, 730, 1675, 3325, 5964, 9924, 15585, 23375, 33770, 47294, 64519, 86065, 112600, 144840, 183549, 229539, 283670, 346850, 420035, 504229, 600484, 709900, 833625, 972855, 1128834, 1302854, 1496255, 1710425, 1946800, 2206864, 2492149 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..33.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

a(n) = n*(n+1)*(12*n^2+8*n-5)/6.

G.f.: -x*(5+34*x+9*x^2) / (x-1)^5. - R. J. Mathar, Oct 08 2011

MAPLE

A024378:=n->n*(n+1)*(12*n^2+8*n-5)/6: seq(A024378(n), n=1..50); # Wesley Ivan Hurt, Apr 27 2017

CROSSREFS

Sequence in context: A179028 A179029 A049079 * A112461 A222585 A260630

Adjacent sequences:  A024375 A024376 A024377 * A024379 A024380 A024381

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified January 28 13:05 EST 2020. Contains 331321 sequences. (Running on oeis4.)