OFFSET
0,4
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 (1,1,1,2,3,-1,0,1,-1,-1).
FORMULA
a(n) = a(n-1)+a(n-2)+a(n-3)+2*a(n-4)+3*a(n-5)-a(n-6)+a(n-8)-a(n-9)-a(n-10).
G.f.: -(x^5+x^2-1)/(x^10+x^9-x^8+x^6-3*x^5-2*x^4-x^3-x^2-x+1)
MATHEMATICA
LinearRecurrence[{1, 1, 1, 2, 3, -1, 0, 1, -1, -1}, {1, 1, 1, 3, 7, 15, 29, 59, 126, 262}, 40] (* Harvey P. Dale, Nov 03 2022 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Baltic, Feb 10 2003
STATUS
approved