A301681 Partial sums of A301680.

1, 5, 14, 29, 49, 75, 107, 143, 183, 229, 281, 337, 399, 467, 539, 615, 697, 785, 877, 975, 1079, 1187, 1299, 1417, 1541, 1669, 1803, 1943, 2087, 2235, 2389, 2549, 2713, 2883, 3059, 3239, 3423, 3613, 3809, 4009, 4215, 4427, 4643, 4863, 5089, 5321, 5557, 5799, 6047, 6299, 6555, 6817, 7085, 7357, 7635, 7919, 8207, 8499, 8797

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301680. - 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 (2, -1, 0, 0, 0, 0, 1, -2, 1).

Formula

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

a(n) = 2*a(n-1) - a(n-2) + a(n-7) - 2*a(n-8) + a(n-9) for n > 11.

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

Crossrefs

Cf. A301680.

Sequence in context: A031333 A303706 A161437 * A047801 A005918 A321178

Adjacent sequences: A301678 A301679 A301680 * A301682 A301683 A301684

Keyword

nonn

Author

N. J. A. Sloane, Mar 25 2018

Status

approved