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

0,2

Links

Table of n, a(n) for n=0..48.

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)

Crossrefs

Cf. A316316.

Sequence in context: A273453 A299770 A294962 * A252296 A273569 A273750

Adjacent sequences: A316354 A316355 A316356 * A316358 A316359 A316360

Keyword

nonn

Author

Rémy Sigrist, Jun 30 2018

Status

approved