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A301300
Partial sums of A301299.
1
1, 5, 13, 26, 44, 66, 92, 121, 155, 195, 239, 287, 337, 392, 454, 520, 590, 661, 737, 821, 909, 1001, 1093, 1190, 1296, 1406, 1520, 1633, 1751, 1879, 2011, 2147, 2281, 2420, 2570, 2724, 2882, 3037, 3197, 3369, 3545, 3725, 3901, 4082, 4276, 4474, 4676, 4873, 5075, 5291, 5511
OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301299. - Ray Chandler, Aug 31 2023
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 2, -2, 0, 0, 0, -1, 1).
FORMULA
From Colin Barker, Apr 07 2018: (Start)
G.f.: (1 + x)^2*(1 + x + x^2)*(1 + x + x^3)*(1 + x^2 + x^3) / ((1 - x)^3*(1 + x + x^2 + x^3 + x^4)^2).
a(n) = a(n-1) + 2*a(n-5) - 2*a(n-6) - a(n-10) + a(n-11) for n>10.
(End)
CROSSREFS
Cf. A301299.
Sequence in context: A188471 A139595 A301673 * A301677 A299259 A008778
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 25 2018
STATUS
approved