A301721 Partial sums of A301720.

1, 7, 16, 34, 55, 79, 115, 151, 190, 244, 295, 349, 421, 487, 556, 646, 727, 811, 919, 1015, 1114, 1240, 1351, 1465, 1609, 1735, 1864, 2026, 2167, 2311, 2491, 2647, 2806, 3004, 3175, 3349, 3565, 3751, 3940, 4174, 4375, 4579, 4831, 5047, 5266, 5536, 5767, 6001, 6289, 6535, 6784, 7090, 7351, 7615, 7939, 8215, 8494, 8836

Offset

0,2

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301720. - 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 Colin Barker, Apr 09 2018: (Start)

G.f.: (1 + 6*x + 9*x^2 + 16*x^3 + 9*x^4 + 6*x^5 + x^6) / ((1 - x)^3*(1 + x + x^2)^2).

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

(End)

Crossrefs

Cf. A301720.

Sequence in context: A296153 A190661 A233058 * A176449 A382123 A278945

Adjacent sequences: A301718 A301719 A301720 * A301722 A301723 A301724

Keyword

nonn

Author

N. J. A. Sloane, Mar 26 2018

Status

approved