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

Offset: 0

Author

Stefano Spezia, Dec 24 2024

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A376832.

Programs

Mathematica

LinearRecurrence[{5,-10,10,-5,1},{0,0,3,16,60,168},41]

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.