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A301681 Partial sums of A301680. 1
1, 5, 14, 29, 49, 75, 107, 143, 183, 229, 281, 337, 399, 467, 539, 615, 697, 785, 877, 975, 1079, 1187, 1299, 1417, 1541, 1669, 1803, 1943, 2087, 2235, 2389, 2549, 2713, 2883, 3059, 3239, 3423, 3613, 3809, 4009, 4215, 4427, 4643, 4863, 5089, 5321, 5557, 5799, 6047, 6299, 6555, 6817, 7085, 7357, 7635, 7919, 8207, 8499, 8797 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Linear recurrence and g.f. confirmed by Shutov/Maleev link in A301680. - Ray Chandler, Aug 30 2023
LINKS
Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, 0, 0, 1, -2, 1).
FORMULA
From Chai Wah Wu, Feb 03 2021: (Start)
a(n) = 2*a(n-1) - a(n-2) + a(n-7) - 2*a(n-8) + a(n-9) for n > 11.
G.f.: -(x + 1)*(x^3 + x + 1)*(-x^7 + x^6 + x^5 + x^4 + 2*x^2 + x + 1)/(x^9 - 2*x^8 + x^7 - x^2 + 2*x - 1). (End)
CROSSREFS
Cf. A301680.
Sequence in context: A031333 A303706 A161437 * A047801 A005918 A321178
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 25 2018
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)