A301683 Partial sums of A301682.

1, 7, 13, 31, 49, 67, 103, 133, 163, 217, 259, 301, 373, 427, 481, 571, 637, 703, 811, 889, 967, 1093, 1183, 1273, 1417, 1519, 1621, 1783, 1897, 2011, 2191, 2317, 2443, 2641, 2779, 2917, 3133, 3283, 3433, 3667, 3829, 3991, 4243, 4417, 4591, 4861, 5047, 5233, 5521, 5719, 5917, 6223, 6433, 6643, 6967, 7189, 7411, 7753, 7987

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301682. - 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, 2, -2, 0, -1, 1).

Formula

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

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

G.f.: (-x^6 - 6*x^5 - 6*x^4 - 16*x^3 - 6*x^2 - 6*x - 1)/((x - 1)^3*(x^2 + x + 1)^2). (End)

Crossrefs

Cf. A301682.

Sequence in context: A306889 A181141 A031158 * A091431 A060800 A272204

Adjacent sequences: A301680 A301681 A301682 * A301684 A301685 A301686

Keyword

nonn

Author

N. J. A. Sloane, Mar 25 2018

Status

approved