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A013987 Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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: A236768 A023439 A147660 * A261607 A261575 A261606

Adjacent sequences:  A013984 A013985 A013986 * A013988 A013989 A013990

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 16 12:17 EDT 2021. Contains 343942 sequences. (Running on oeis4.)