OFFSET
0,3
LINKS
Abigail Ollson, Table of n, a(n) for n = 0..99
Christian Bean, Paul C. Bell, and Abigail Ollson, The insertion encoding of Cayley permutations, arXiv:2505.08480 [math.CO], 2025.
Index entries for linear recurrences with constant coefficients, signature (6,-11,10,-2).
FORMULA
G.f.: (x^4 - 6*x^3 + 8*x^2 - 5*x + 1)/((x^2 - 4*x + 1)*(2*x^2 - 2*x + 1)).
E.g.f.: (13 + exp(x)*(5*cos(x) - sin(x)) + 2*exp(2*x)*(4*cosh(sqrt(3)*x) + sqrt(3)*sinh(sqrt(3)*x)))/26. - Stefano Spezia, Feb 13 2026
26*a(n) = 5*A099087(n)-6*A099087(n-1)-10*A001353(n)+8*A001353(n+1) for n>0. - R. J. Mathar, Feb 24 2026
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Abigail Ollson, Feb 12 2026
STATUS
approved