A298037 Partial sums of A298036.

1, 13, 25, 61, 85, 145, 181, 265, 313, 421, 481, 613, 685, 841, 925, 1105, 1201, 1405, 1513, 1741, 1861, 2113, 2245, 2521, 2665, 2965, 3121, 3445, 3613, 3961, 4141, 4513, 4705, 5101, 5305, 5725, 5941, 6385, 6613, 7081, 7321, 7813, 8065, 8581, 8845, 9385, 9661

Offset

0,2

Links

Hakan Icoz, Table of n, a(n) for n = 0..20000

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

Formula

From Joerg Arndt, Aug 23 2020: (Start)

G.f.: (1 + 12*x + 10*x^2 + 12*x^3 + x^4)/((1 - x^2)^2*(1-x)).

a(n) = a(n-1) + 2*a(n-2) - 2*a(n-3) - a(n-4) + a(n-5). (End)

a(n)= A298036(n) + a(n-1). - Hakan Icoz, Aug 23 2020

Example

a(1) = 12 + 1 = 13
a(2) = 12 + 13 = 25
a(3) = 36 + 25 = 61

Mathematica

LinearRecurrence[{1, 2, -2, -1, 1}, {1, 13, 25, 61, 85}, 100] (* Paolo Xausa, Jul 20 2024 *)

Crossrefs

Cf. A298036.

Sequence in context: A005696 A147145 A283174 * A283255 A322662 A151776

Adjacent sequences: A298034 A298035 A298036 * A298038 A298039 A298040

Keyword

nonn,easy

Author

N. J. A. Sloane, Jan 22 2018

Extensions

a(7)-a(50) from Hakan Icoz, Aug 22 2020

Status

approved