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A301719 Partial sums of A301718. 1
1, 6, 17, 34, 57, 85, 118, 157, 202, 253, 309, 370, 437, 510, 589, 673, 762, 857, 958, 1065, 1177, 1294, 1417, 1546, 1681, 1821, 1966, 2117, 2274, 2437, 2605, 2778, 2957, 3142, 3333, 3529, 3730, 3937, 4150, 4369, 4593, 4822, 5057, 5298, 5545, 5797, 6054, 6317, 6586, 6861, 7141, 7426, 7717, 8014, 8317, 8625 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301718. - Ray Chandler, Aug 30 2023
LINKS
FORMULA
From Colin Barker, Apr 09 2018: (Start)
G.f.: (1 + x)^2*(1 + 2*x + x^2 + 2*x^3 + x^4) / ((1 - x)^3*(1 + x + x^2 + x^3 + x^4)).
a(n) = 2*a(n-1) - a(n-2) + a(n-5) - 2*a(n-6) + a(n-7) for n>6. (End)
Conjecture: a(n) ~ 14*n^2/5. - Stefano Spezia, Mar 28 2023
CROSSREFS
Cf. A301718.
Sequence in context: A216892 A301711 A066486 * A056109 A023545 A038633
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 26 2018
STATUS
approved

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Last modified July 21 22:27 EDT 2024. Contains 374478 sequences. (Running on oeis4.)