A307274 Partial sums of A307204.

1, 4, 10, 16, 28, 46, 70, 100, 130, 163, 211, 268, 328, 388, 460, 544, 622, 703, 799, 910, 1006, 1108, 1228, 1366, 1480, 1603, 1747, 1912, 2044, 2188, 2356, 2548, 2698, 2863, 3055, 3274, 3442, 3628, 3844, 4090, 4276, 4483, 4723, 4996, 5200, 5428, 5692, 5992

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 05 2019: (Start)

G.f.: (1 + 3*x + 6*x^2 + 6*x^3 + 10*x^4 + 12*x^5 + 12*x^6 + 18*x^7 + 7*x^8 + 6*x^10 + 3*x^11 + 12*x^12 + 12*x^13 - 12*x^16 - 6*x^17) / ((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>17. (End)

Mathematica

LinearRecurrence[{1, 0, 0, 2, -2, 0, 0, -1, 1}, {1, 4, 10, 16, 28, 46, 70, 100, 130, 163, 211, 268, 328, 388, 460, 544, 622, 703}, 100] (* Paolo Xausa, Apr 09 2026 *)

Crossrefs

Cf. A307204.

Sequence in context: A191115 A073121 A167346 * A378708 A027430 A298031

Adjacent sequences: A307271 A307272 A307273 * A307275 A307276 A307277

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 02 2019

Extensions

More terms from Rémy Sigrist, Apr 04 2019

Status

approved