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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
OFFSET
0,2
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
KEYWORD
nonn,easy
AUTHOR
Chaim Goodman-Strauss and N. J. A. Sloane, Jan 13 2018
STATUS
approved