OFFSET
0,3
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 (1,1,2,3,5,0,1,-1,-1,-1).
FORMULA
a(n) = a(n-1)+a(n-2)+2*a(n-3)+3*a(n-4)+5*a(n-5)+a(n-7)-a(n-8)-a(n-9)-a(n-10).
G.f.: -(x^5+x^3-1)/(x^10+x^9+x^8-x^7-5*x^5-3*x^4-2*x^3-x^2-x+1)
MATHEMATICA
LinearRecurrence[{1, 1, 2, 3, 5, 0, 1, -1, -1, -1}, {1, 1, 2, 4, 11, 26, 56, 127, 288, 660}, 40] (* Harvey P. Dale, Nov 20 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Baltic, Feb 10 2003
STATUS
approved