A301294 Partial sums of A301293.

1, 5, 14, 28, 46, 68, 95, 127, 163, 203, 248, 298, 352, 410, 473, 541, 613, 689, 770, 856, 946, 1040, 1139, 1243, 1351, 1463, 1580, 1702, 1828, 1958, 2093, 2233, 2377, 2525, 2678, 2836, 2998, 3164, 3335, 3511, 3691, 3875, 4064, 4258, 4456, 4658

Offset: 0

Author

N. J. A. Sloane, Mar 23 2018

Keywords

• nonn
• easy

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (3,-4,4,-3,1).

Crossrefs

Cf. A301293.

Programs

Mathematica

LinearRecurrence[{3,-4,4,-3,1},{1,5,14,28,46},50] (* Harvey P. Dale, Aug 05 2023 *)

PARI

Vec((1 + x + x^2)^2 / ((1 - x)^3*(1 + x^2)) + O(x^60)) \\ Colin Barker, Mar 23 2018

Formula

From Colin Barker, Mar 23 2018: (Start)

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

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

(End)