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URL: https://oeis.org/A307273

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A307273
Partial sums of A307203.
1
1, 4, 11, 21, 35, 56, 82, 114, 152, 198, 249, 305, 366, 437, 510, 588, 672, 766, 861, 961, 1068, 1185, 1302, 1424, 1554, 1694, 1833, 1977, 2130, 2293, 2454, 2620, 2796, 2982, 3165, 3353, 3552, 3761, 3966, 4176, 4398, 4630, 4857, 5089, 5334, 5589, 5838, 6092
OFFSET
0,2
COMMENTS
Computed by Davide M. Proserpio using ToposPro, Apr 01 2019
FORMULA
From Colin Barker, Apr 04 2019: (Start)
G.f.: (1 + 2*x + 5*x^2 + 5*x^3 + 7*x^4 + 8*x^5 + 4*x^6 + 8*x^7 + 3*x^8 + 4*x^9 + 2*x^10 - x^12 + x^13 - 4*x^14 + 2*x^15 - 2*x^16) / ((1 - x)^3*(1 + x)*(1 + x^2)^2).
a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-5) + 2*a(n-6) - 2*a(n-7) + a(n-8) for n>16.
(End)
MATHEMATICA
LinearRecurrence[{2, -2, 2, 0, -2, 2, -2, 1}, {1, 4, 11, 21, 35, 56, 82, 114, 152, 198, 249, 305, 366, 437, 510, 588, 672}, 50] (* Harvey P. Dale, Sep 30 2023 *)
CROSSREFS
Cf. A307203.
Sequence in context: A008008 A008014 A008007 * A009892 A301238 A016434
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 02 2019
EXTENSIONS
More terms from Rémy Sigrist, Apr 04 2019
STATUS
approved