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A301723
Partial sums of A301722.
1
1, 6, 16, 31, 53, 80, 111, 149, 192, 239, 293, 352, 415, 485, 560, 639, 725, 816, 911, 1013, 1120, 1231, 1349, 1472, 1599, 1733, 1872, 2015, 2165, 2320, 2479, 2645, 2816, 2991, 3173, 3360, 3551, 3749, 3952, 4159, 4373, 4592, 4815, 5045, 5280, 5519, 5765, 6016, 6271
OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301722. - Ray Chandler, Aug 30 2023
FORMULA
From Colin Barker, Apr 06 2018: (Start)
G.f.: (1 + x)^2*(1 + 2*x - x^2)*(1 + x^2) / ((1 - x)^3*(1 + x + x^2)).
a(n) = 2*a(n-1) - a(n-2) + a(n-3) - 2*a(n-4) + a(n-5) for n>4.
(End)
CROSSREFS
Cf. A301722.
Sequence in context: A108182 A244242 A092286 * A288113 A276917 A097118
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 26 2018
STATUS
approved