A301698 Partial sums of A301697.

1, 6, 16, 32, 54, 81, 113, 150, 192, 240, 294, 353, 417, 486, 560, 640, 726, 817, 913, 1014, 1120, 1232, 1350, 1473, 1601, 1734, 1872, 2016, 2166, 2321, 2481, 2646, 2816, 2992, 3174, 3361, 3553, 3750, 3952, 4160, 4374, 4593, 4817, 5046, 5280, 5520, 5766, 6017, 6273, 6534, 6800, 7072, 7350, 7633, 7921, 8214, 8512, 8816, 9126, 9441, 9761

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301697. - Ray Chandler, Aug 30 2023

Links

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

Index entries for linear recurrences with constant coefficients, signature (3, -4, 4, -4, 4, -3, 1).

Formula

From Colin Barker, Apr 08 2018: (Start)

G.f.: (1 + 3*x + 2*x^2 + 4*x^3 + 2*x^4 + 3*x^5 + x^6) / ((1 - x)^3*(1 - x + x^2)*(1 + x + x^2)).

a(n) = 3*a(n-1) - 4*a(n-2) + 4*a(n-3) - 4*a(n-4) + 4*a(n-5) - 3*a(n-6) + a(n-7) for n>6.

(End)

Crossrefs

Cf. A301697.

Sequence in context: A369548 A296957 A341276 * A301713 A134465 A036488

Adjacent sequences: A301695 A301696 A301697 * A301699 A301700 A301701

Keyword

nonn

Author

N. J. A. Sloane, Mar 26 2018

Status

approved