A298017 Partial sums of A298014.

1, 4, 13, 28, 46, 73, 110, 147, 191, 248, 302, 363, 440, 511, 589, 686, 774, 869, 986, 1091, 1203, 1340, 1462, 1591, 1748, 1887, 2033, 2210, 2366, 2529, 2726, 2899, 3079, 3296, 3486, 3683, 3920, 4127, 4341, 4598, 4822, 5053, 5330, 5571, 5819, 6116, 6374, 6639, 6956, 7231, 7513, 7850, 8142, 8441

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,2,-2,0,-1,1).

Formula

From Colin Barker, Jan 15 2018: (Start)

G.f.: (1 + x)*(1 + 2*x + 7*x^2 + 6*x^3 + 6*x^4 + 3*x^5 + 5*x^6 - x^7 - 2*x^9) / ((1 - x)^3*(1 + x + x^2)^2).

a(n) = a(n-1) + 2*a(n-3) - 2*a(n-4) - a(n-6) + a(n-7) for n>10.

(End)

Prog

(PARI) Vec((1 + x)*(1 + 2*x + 7*x^2 + 6*x^3 + 6*x^4 + 3*x^5 + 5*x^6 - x^7 - 2*x^9) / ((1 - x)^3*(1 + x + x^2)^2) + O(x^60)) \\ Colin Barker, Jan 15 2018

Crossrefs

Cf. A298014.

Sequence in context: A270942 A272455 A220745 * A356984 A307272 A056107

Adjacent sequences: A298014 A298015 A298016 * A298018 A298019 A298020

Keyword

nonn,easy

Author

Chaim Goodman-Strauss and N. J. A. Sloane, Jan 13 2018

Status

approved