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A298018 Partial sums of A298015. 1
1, 4, 10, 25, 49, 67, 100, 148, 178, 229, 301, 343, 412, 508, 562, 649, 769, 835, 940, 1084, 1162, 1285, 1453, 1543, 1684, 1876, 1978, 2137, 2353, 2467, 2644, 2884, 3010, 3205, 3469, 3607, 3820, 4108, 4258, 4489, 4801, 4963, 5212, 5548, 5722, 5989, 6349, 6535, 6820, 7204, 7402, 7705, 8113, 8323 (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 + 3*x + 6*x^2 + 13*x^3 + 18*x^4 + 6*x^5 + 4*x^6 + 3*x^7) / ((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>7.

(End)

PROG

(PARI) Vec((1 + 3*x + 6*x^2 + 13*x^3 + 18*x^4 + 6*x^5 + 4*x^6 + 3*x^7) / ((1 - x)^3*(1 + x + x^2)^2) + O(x^50)) \\ Colin Barker, Jan 15 2018

CROSSREFS

Cf. A298015.

Sequence in context: A145368 A266826 A111207 * A254233 A300760 A229916

Adjacent sequences:  A298015 A298016 A298017 * A298019 A298020 A298021

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified September 30 18:12 EDT 2020. Contains 337440 sequences. (Running on oeis4.)