OFFSET
0,4
COMMENTS
Number of compositions (ordered partitions) of n into elements of the set {1,3,4,6}.
REFERENCES
D. H. Lehmer, Permutations with strongly restricted displacements. Combinatorial theory and its applications, II (Proc. Colloq., Balatonfured, 1969), pp. 755-770. North-Holland, Amsterdam, 1970.
LINKS
Vladimir Baltic, On the number of certain types of strongly restricted permutations, Applicable Analysis and Discrete Mathematics Vol. 4, No 1 (2010), 119-135.
Index entries for linear recurrences with constant coefficients, signature (1,0,1,1,0,1).
FORMULA
a(n) = a(n-1)+a(n-3)+a(n-4)+a(n-6).
G.f.: -1/(x^6+x^4+x^3+x-1).
MAPLE
g:=1/(1-z-z^3-z^4-z^6): gser:=series(g, z=0, 49): seq((coeff(gser, z, n)), n=0..37); # Zerinvary Lajos, Apr 17 2009
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vladimir Baltic, Feb 19 2003
STATUS
approved