A316357 Partial sums of A316316.

1, 5, 13, 21, 33, 53, 73, 93, 121, 153, 185, 221, 261, 305, 353, 401, 453, 513, 573, 633, 701, 773, 845, 921, 1001, 1085, 1173, 1261, 1353, 1453, 1553, 1653, 1761, 1873, 1985, 2101, 2221, 2345, 2473, 2601, 2733, 2873, 3013, 3153, 3301, 3453, 3605, 3761, 3921

Offset: 0

Author

Rémy Sigrist, Jun 30 2018

Keywords

• nonn

Crossrefs

Cf. A316316.

Formula

Conjectures from Colin Barker, Dec 13 2018: (Start)

G.f.: (1 + 3*x + 5*x^2 + 2*x^3 + 5*x^4 + 3*x^5 + x^6) / ((1 - x)^3*(1 + x^2)*(1 + x + x^2)).

a(n) = 2*a(n-1) - 2*a(n-2) + 3*a(n-3) - 3*a(n-4) + 2*a(n-5) - 2*a(n-6) + a(n-7) for n>6.

(End)