A298025 Partial sums of A298024.

1, 5, 15, 29, 47, 71, 99, 131, 169, 211, 257, 309, 365, 425, 491, 561, 635, 715, 799, 887, 981, 1079, 1181, 1289, 1401, 1517, 1639, 1765, 1895, 2031, 2171, 2315, 2465, 2619, 2777, 2941, 3109, 3281, 3459, 3641, 3827, 4019, 4215, 4415, 4621, 4831, 5045, 5265

Offset: 0

Author

N. J. A. Sloane, Jan 21 2018

Keywords

• nonn

Comments

Linear recurrence and g.f. confirmed by Shutov/Maleev link in A298024. - Ray Chandler, Aug 31 2023

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (2, -1, 1, -2, 1).

Crossrefs

Cf. A298024.

Formula

From Colin Barker, Jan 21 2018: (Start)

G.f.: (1 + 3*x + 6*x^2 + 3*x^3 + x^4) / ((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>4.

(End)

Extensions

More terms from Rémy Sigrist, Jan 21 2018