A307275 Partial sums of A307205.

1, 5, 13, 27, 46, 70, 99, 135, 179, 227, 281, 339, 408, 476, 553, 633, 727, 815, 915, 1017, 1136, 1244, 1367, 1491, 1635, 1763, 1909, 2055, 2224, 2372, 2541, 2709, 2903, 3071, 3263, 3453, 3672, 3860, 4075, 4287, 4531, 4739, 4977, 5211, 5480, 5708, 5969, 6225, 6519, 6767, 7051, 7329

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

Index entries for linear recurrences with constant coefficients, signature (1,0,0,2,-2,0,0,-1,1).

Formula

From Colin Barker, Apr 04 2019: (Start)

G.f.: (1 + 4*x + 8*x^2 + 14*x^3 + 17*x^4 + 16*x^5 + 13*x^6 + 8*x^7 + 7*x^8 + 4*x^9 + 4*x^10 - 4*x^13 - 2*x^14) / ((1 - x)^3*(1 + x)^2*(1 + x^2)^2).

a(n) = a(n-1) + 2*a(n-4) - 2*a(n-5) - a(n-8) + a(n-9) for n>14. (End)

Mathematica

LinearRecurrence[{1, 0, 0, 2, -2, 0, 0, -1, 1}, {1, 5, 13, 27, 46, 70, 99, 135, 179, 227, 281, 339, 408, 476, 553}, 100] (* Paolo Xausa, Apr 10 2026 *)

Crossrefs

Cf. A307205.

Sequence in context: A301675 A147411 A008580 * A212151 A123326 A025193

Adjacent sequences: A307272 A307273 A307274 * A307276 A307277 A307278

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 02 2019

Extensions

More terms from Rémy Sigrist, Apr 04 2019

Status

approved