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

0,2

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).

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)

Crossrefs

Cf. A301299.

Sequence in context: A188471 A139595 A301673 * A301677 A299259 A008778

Adjacent sequences: A301297 A301298 A301299 * A301301 A301302 A301303

Keyword

nonn

Author

N. J. A. Sloane, Mar 25 2018

Status

approved