A365418 Partial sums of A301298.

1, 6, 15, 29, 48, 71, 99, 132, 169, 211, 258, 309, 365, 426, 491, 561, 636, 715, 799, 888, 981, 1079, 1182, 1289, 1401, 1518, 1639, 1765, 1896, 2031, 2171, 2316, 2465, 2619, 2778, 2941, 3109, 3282, 3459, 3641, 3828, 4019, 4215, 4416, 4621, 4831, 5046, 5265, 5489, 5718, 5951, 6189, 6432, 6679, 6931, 7188, 7449

Offset

0,2

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (2,-1,1,-2,1).

Formula

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

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

Mathematica

LinearRecurrence[{2, -1, 1, -2, 1}, {1, 6, 15, 29, 48}, 50]

Crossrefs

Cf. A301298.

Sequence in context: A263896 A295979 A338488 * A180953 A200184 A005286

Adjacent sequences: A365415 A365416 A365417 * A365419 A365420 A365421

Keyword

nonn,easy

Author

Ray Chandler, Sep 03 2023

Status

approved