OFFSET
0,3
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..200
D. M. Jackson and R. C. Read, A note on permutations without runs of given length, Aequationes Math. 17 (1978), no. 2-3, 336-343.
FORMULA
G.f.: Sum_{n>=0} n!*((x^m-x)/(x^m-1))^n where m = 4.
a(n) ~ n! * (1 - 1/n^2 + 1/n^3 + 9/(2*n^4) + 7/n^5 - 55/(6*n^6) - 114/n^7 - 11419/(24*n^8) - 970/n^9 + 345199/(120*n^10) + ...). - Vaclav Kotesovec, Feb 17 2024
PROG
(PARI) seq(n)={Vec(sum(k=0, n, k!*((x^4-x)/(x^4-1) + O(x*x^n))^k))} \\ Andrew Howroyd, Aug 31 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Ivana Jovovic (ivana121(AT)EUnet.yu), Nov 14 2007
EXTENSIONS
Terms a(16) and beyond from Andrew Howroyd, Aug 31 2018
STATUS
approved