A301717 Partial sums of A301716.

1, 7, 19, 37, 55, 85, 121, 157, 205, 253, 307, 373, 439, 511, 589, 673, 763, 859, 961, 1063, 1177, 1297, 1417, 1549, 1681, 1819, 1969, 2119, 2275, 2437, 2605, 2779, 2959, 3145, 3331, 3529, 3733, 3937, 4153, 4369, 4591, 4825, 5059, 5299, 5545, 5797, 6055, 6319, 6589, 6859, 7141, 7429, 7717, 8017, 8317, 8623

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301716. - 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, 1, -1, 1, -1, 0, -1, 1).

Formula

From Colin Barker, Apr 09 2018: (Start)

G.f.: (1 + 6*x + 12*x^2 + 17*x^3 + 12*x^4 + 17*x^5 + 12*x^6 + 6*x^7 + x^8) / ((1 - x)^3*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)).

a(n) = a(n-1) + a(n-3) - a(n-4) + a(n-5) - a(n-6) - a(n-8) + a(n-9) for n>8.

(End)

Crossrefs

Cf. A301716.

Sequence in context: A352243 A031337 A241984 * A152540 A073859 A038847

Adjacent sequences: A301714 A301715 A301716 * A301718 A301719 A301720

Keyword

nonn

Author

N. J. A. Sloane, Mar 26 2018

Status

approved