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A301691
Partial sums of A301690.
1
1, 7, 13, 22, 34, 52, 76, 97, 121, 151, 187, 229, 265, 304, 352, 406, 466, 517, 571, 637, 709, 787, 853, 922, 1006, 1096, 1192, 1273, 1357, 1459, 1567, 1681, 1777, 1876, 1996, 2122, 2254, 2365, 2479, 2617, 2761, 2911, 3037, 3166, 3322, 3484, 3652, 3793, 3937, 4111, 4291, 4477, 4633, 4792, 4984, 5182, 5386, 5557, 5731, 5941
OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301690. - Ray Chandler, Aug 30 2023
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 2, -2, 0, 0, 0, -1, 1).
FORMULA
From Chai Wah Wu, Feb 03 2021: (Start)
a(n) = a(n-1) + 2*a(n-5) - 2*a(n-6) - a(n-10) + a(n-11) for n > 10.
G.f.: -(x^2 + x + 1)*(x^8 + 5*x^7 + 4*x^5 + 8*x^4 + 4*x^3 + 5*x + 1)/((x - 1)^3*(x^4 + x^3 + x^2 + x + 1)^2). (End)
CROSSREFS
Cf. A301690.
Sequence in context: A034102 A034112 A236312 * A163676 A273605 A273641
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 25 2018
STATUS
approved