A379540 - OEIS

A379540

Row sums of A376832.

0, 0, 3, 16, 60, 168, 385, 768, 1386, 2320, 3663, 5520, 8008, 11256, 15405, 20608, 27030, 34848, 44251, 55440, 68628, 84040, 101913, 122496, 146050, 172848, 203175, 237328, 275616, 318360, 365893, 418560, 476718, 540736, 610995, 687888, 771820, 863208, 962481, 1070080, 1186458

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..40.

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

FORMULA

a(n) = (n^4 - 3*n^3 + 3*n^2 + 3*n - 4)/2 for n > 0 with a(0) = 0.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n > 5.

G.f.: x^2*(3 + x + 10*x^2 - 2*x^3)/(1 - x)^5.

E.g.f.: 2 + exp(x)*(x^4 + 3*x^3 + x^2 + 4*x - 4)/2.

MATHEMATICA