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A301294
Partial sums of A301293.
1
1, 5, 14, 28, 46, 68, 95, 127, 163, 203, 248, 298, 352, 410, 473, 541, 613, 689, 770, 856, 946, 1040, 1139, 1243, 1351, 1463, 1580, 1702, 1828, 1958, 2093, 2233, 2377, 2525, 2678, 2836, 2998, 3164, 3335, 3511, 3691, 3875, 4064, 4258, 4456, 4658
OFFSET
0,2
FORMULA
From Colin Barker, Mar 23 2018: (Start)
G.f.: (1 + x + x^2)^2 / ((1 - x)^3*(1 + x^2)).
a(n) = 3*a(n-1) - 4*a(n-2) + 4*a(n-3) - 3*a(n-4) + a(n-5) for n>4.
(End)
MATHEMATICA
LinearRecurrence[{3, -4, 4, -3, 1}, {1, 5, 14, 28, 46}, 50] (* Harvey P. Dale, Aug 05 2023 *)
PROG
(PARI) Vec((1 + x + x^2)^2 / ((1 - x)^3*(1 + x^2)) + O(x^60)) \\ Colin Barker, Mar 23 2018
CROSSREFS
Cf. A301293.
Sequence in context: A331775 A140342 A055454 * A073347 A134238 A024800
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Mar 23 2018
STATUS
approved