A301300 Partial sums of A301299.

1, 5, 13, 26, 44, 66, 92, 121, 155, 195, 239, 287, 337, 392, 454, 520, 590, 661, 737, 821, 909, 1001, 1093, 1190, 1296, 1406, 1520, 1633, 1751, 1879, 2011, 2147, 2281, 2420, 2570, 2724, 2882, 3037, 3197, 3369, 3545, 3725, 3901, 4082, 4276, 4474, 4676, 4873, 5075, 5291, 5511

Offset: 0

Author

N. J. A. Sloane, Mar 25 2018

Keywords

• nonn

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301299. - Ray Chandler, Aug 31 2023

Links

• Ray Chandler, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 2, -2, 0, 0, 0, -1, 1).

Crossrefs

Cf. A301299.

Formula

From Colin Barker, Apr 07 2018: (Start)

G.f.: (1 + x)^2*(1 + x + x^2)*(1 + x + x^3)*(1 + x^2 + x^3) / ((1 - x)^3*(1 + x + x^2 + x^3 + x^4)^2).

a(n) = a(n-1) + 2*a(n-5) - 2*a(n-6) - a(n-10) + a(n-11) for n>10.

(End)