A307273 Partial sums of A307203.

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

Links

Rémy Sigrist, Table of n, a(n) for n = 0..1000

Formula

Conjectures 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

Adjacent sequences: A307270 A307271 A307272 * A307274 A307275 A307276

Keyword

nonn

Author

N. J. A. Sloane, Apr 02 2019

Extensions

More terms from Rémy Sigrist, Apr 04 2019

Status

approved