A013987 Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).

1, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 54, 88, 141, 228, 367, 592, 954, 1538, 2479, 3996, 6441, 10383, 16736, 26978, 43486, 70097, 112991, 182134, 293587, 473242, 762833, 1229634, 1982084, 3194982, 5150088, 8301584, 13381575, 21570168, 34769609, 56046190

Offset

0,5

Comments

Number of compositions of n into parts p where 2 <= p < = 10. [Joerg Arndt, Jun 24 2013]

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

R. Mullen, On Determining Paint by Numbers Puzzles with Nonunique Solutions, JIS 12 (2009) 09.6.5

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

Mathematica

CoefficientList[Series[1 / (1 - x^2 - x^3 - x^4 - x^5 - x^6 - x^7 - x^8 - x^9 - x^10), {x, 0, 40}], x] (* Vincenzo Librandi, Jun 24 2013 *)

Prog

(Magma) m:=40; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10))); // Vincenzo Librandi, Jun 24 2013

Crossrefs

See A000045 for the Fibonacci numbers.

Sequence in context: A374742 A023439 A147660 * A261607 A261575 A261606

Adjacent sequences: A013984 A013985 A013986 * A013988 A013989 A013990

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved