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A152067 Expansion of 1 / ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10)). 1
1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 3, 4, 5, 4, 4, 5, 7, 10, 11, 11, 12, 15, 19, 24, 27, 30, 34, 41, 51, 60, 70, 80, 93, 111, 133, 157, 183, 213, 250, 296, 350, 413, 483, 566, 666, 785, 926, 1089, 1279, 1502, 1767, 2081, 2450, 2881, 3387, 3982 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

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

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

FORMULA

From Colin Barker, Dec 17 2017: (Start)

G.f.: 1 / ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10)).

a(n) = a(n-5) + a(n-6) + a(n-7) - a(n-12) for n>11.

(End)

MATHEMATICA

f[x_] = 1 - x^5 - x^6 - x^7 + x^12; g[x] = ExpandAll[x^12*f[1/x]]; a = Table[SeriesCoefficient[ Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]

PROG

(PARI) Vec(1 / ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10)) + O(x^100)) \\ Colin Barker, Dec 17 2017

CROSSREFS

Sequence in context: A159853 A087698 A101677 * A286756 A193884 A128084

Adjacent sequences:  A152064 A152065 A152066 * A152068 A152069 A152070

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Nov 23 2008

EXTENSIONS

New name using Colin Barker's g.f. from Joerg Arndt, Dec 17 2017

STATUS

approved

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Last modified March 25 10:23 EDT 2019. Contains 321470 sequences. (Running on oeis4.)