A301671 Partial sums of A301670.

1, 5, 13, 25, 41, 63, 89, 115, 151, 187, 231, 273, 327, 377, 441, 497, 569, 635, 717, 787, 879, 959, 1059, 1145, 1255, 1349, 1469, 1569, 1697, 1807, 1945, 2059, 2207, 2331, 2487, 2617, 2783, 2921, 3097, 3241, 3425, 3579, 3773, 3931, 4135, 4303, 4515, 4689, 4911, 5093, 5325, 5513, 5753, 5951, 6201, 6403, 6663

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301670. - 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 (0, 1, 1, 1, -1, -1, -1, 0, 1).

Formula

From Chai Wah Wu, Mar 11 2021: (Start)

a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-5) - a(n-6) - a(n-7) + a(n-9) for n > 9.

G.f.: (2*x^9 - x^8 - 5*x^7 - 16*x^6 - 21*x^5 - 22*x^4 - 19*x^3 - 12*x^2 - 5*x - 1)/((x - 1)^3*(x + 1)^2*(x^2 + 1)*(x^2 + x + 1)). (End)

Crossrefs

Cf. A301670.

Sequence in context: A301302 A133322 A299258 * A268525 A146590 A098483

Adjacent sequences: A301668 A301669 A301670 * A301672 A301673 A301674

Keyword

nonn

Author

N. J. A. Sloane, Mar 25 2018

Status

approved