A298023 Partial sums of A298022.

1, 4, 11, 23, 40, 63, 91, 124, 161, 203, 250, 301, 357, 418, 483, 553, 628, 707, 791, 880, 973, 1071, 1174, 1281, 1393, 1510, 1631, 1757, 1888, 2023, 2163, 2308, 2457, 2611, 2770, 2933, 3101, 3274, 3451, 3633, 3820, 4011, 4207, 4408, 4613, 4823, 5038, 5257

Offset: 0

Author

N. J. A. Sloane, Jan 21 2018

Keywords

• nonn

Links

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

Crossrefs

Cf. A298022.

Formula

Conjectures from Colin Barker, Jan 22 2018: (Start)

G.f.: (1 + 2*x + 4*x^2 + 4*x^3 + 3*x^4 + 2*x^5 - 2*x^8) / ((1 - x)^3*(1 + x + x^2)).

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

(End)

Extensions

More terms from Rémy Sigrist, Jan 21 2018