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A298017 Partial sums of A298014. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A307272 A056107 A155433

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

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Last modified August 6 00:46 EDT 2021. Contains 346493 sequences. (Running on oeis4.)