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A301721 Partial sums of A301720. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301720. - Ray Chandler, Aug 30 2023
LINKS
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 A278945 A327628
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 26 2018
STATUS
approved

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Last modified June 21 18:50 EDT 2024. Contains 373557 sequences. (Running on oeis4.)