A225484 Expansion of 1/(1 - x^3 - x^4 - x^5 - x^6 + x^9).

1, 0, 0, 1, 1, 1, 2, 2, 3, 4, 6, 8, 10, 14, 20, 26, 36, 49, 66, 90, 123, 167, 227, 308, 420, 571, 776, 1056, 1436, 1952, 2656, 3612, 4912, 6680, 9085, 12356, 16804, 22853, 31081, 42269, 57486, 78182, 106327, 144604

Offset: 0

Author

Roger L. Bagula, May 08 2013

Keywords

• nonn
• easy

Comments

Limiting ratio is 1.3599997117115008..., the largest real root of 1 - x^3 - x^4 - x^5 - x^6 + x^9 = 0.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,0,1,1,1,1,0,0,-1).

Crossrefs

Cf. A117791, A107293, A204631, A225391, A225482.

Programs

Mathematica

SeriesCoefficient[Series[1/(1 - x^3 - x^4 - x^5 - x^6 + x^9), {x, 0, 50}], n]

PARI

Vec(1/(1-x^3-x^4-x^5-x^6+x^9)+O(x^99)) \\ Charles R Greathouse IV, May 08 2013