A301691 Partial sums of A301690.

1, 7, 13, 22, 34, 52, 76, 97, 121, 151, 187, 229, 265, 304, 352, 406, 466, 517, 571, 637, 709, 787, 853, 922, 1006, 1096, 1192, 1273, 1357, 1459, 1567, 1681, 1777, 1876, 1996, 2122, 2254, 2365, 2479, 2617, 2761, 2911, 3037, 3166, 3322, 3484, 3652, 3793, 3937, 4111, 4291, 4477, 4633, 4792, 4984, 5182, 5386, 5557, 5731, 5941

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301690. - 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 (1, 0, 0, 0, 2, -2, 0, 0, 0, -1, 1).

Formula

From Chai Wah Wu, Feb 03 2021: (Start)

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

G.f.: -(x^2 + x + 1)*(x^8 + 5*x^7 + 4*x^5 + 8*x^4 + 4*x^3 + 5*x + 1)/((x - 1)^3*(x^4 + x^3 + x^2 + x + 1)^2). (End)

Crossrefs

Cf. A301690.

Sequence in context: A034102 A034112 A236312 * A163676 A273605 A273641

Adjacent sequences: A301688 A301689 A301690 * A301692 A301693 A301694

Keyword

nonn

Author

N. J. A. Sloane, Mar 25 2018

Status

approved