A298019 Partial sums of A298016.

1, 7, 19, 31, 55, 91, 115, 157, 217, 253, 313, 397, 445, 523, 631, 691, 787, 919, 991, 1105, 1261, 1345, 1477, 1657, 1753, 1903, 2107, 2215, 2383, 2611, 2731, 2917, 3169, 3301, 3505, 3781, 3925, 4147, 4447, 4603, 4843, 5167, 5335, 5593, 5941, 6121, 6397, 6769, 6961, 7255, 7651, 7855, 8167, 8587

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 16 2018: (Start)

G.f.: (1 + 6*x + 12*x^2 + 10*x^3 + 12*x^4 + 12*x^5 + x^6) / ((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>6.

(End)

Prog

(PARI) Vec((1 + 6*x + 12*x^2 + 10*x^3 + 12*x^4 + 12*x^5 + x^6) / ((1 - x)^3*(1 + x + x^2)^2) + O(x^80)) \\ Colin Barker, Jan 16 2018

Crossrefs

Cf. A298016.

Sequence in context: A216530 A114564 A191118 * A169605 A216532 A249375

Adjacent sequences: A298016 A298017 A298018 * A298020 A298021 A298022

Keyword

nonn,easy

Author

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

Status

approved