A013982 Expansion of 1/(1-x^2-x^3-x^4-x^5).
1, 0, 1, 1, 2, 3, 4, 7, 10, 16, 24, 37, 57, 87, 134, 205, 315, 483, 741, 1137, 1744, 2676, 4105, 6298, 9662, 14823, 22741, 34888, 53524, 82114, 125976, 193267, 296502, 454881, 697859, 1070626, 1642509
Offset: 0
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
- J. D. Opdyke, A unified approach to algorithms generating unrestricted.., J. Math. Model. Algor. 9 (2010) 53-97, Table 7
- Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,1).
Programs
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Magma
m:=40; R
:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^2-x^3-x^4-x^5))); // Vincenzo Librandi, Jun 24 2013 -
Mathematica
CoefficientList[Series[1/(1-x^2-x^3-x^4-x^5),{x,0,40}],x] (* or *) LinearRecurrence[{0,1,1,1,1},{1,0,1,1,2},40] (* Harvey P. Dale, Sep 19 2011 *) -
PARI
Vec(1/(1-x^2-x^3-x^4-x^5)+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
Formula
a(n) = a(n-5) + a(n-4) + a(n-3) + a(n-2). - Jon E. Schoenfield, Aug 07 2006
Comments