OFFSET
0,1
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..250
Hsien-Kuei Hwang, and Emma Yu Jin, Asymptotics and statistics on Fishburn matrices and their generalizations, arXiv:1911.06690 [math.CO], p. 35, 2019.
FORMULA
a(n) ~ sqrt(12) * exp(Pi^2/48) * 24^(n+1) * n^(n+1) / (exp(n) * Pi^(2*n+2)). - Vaclav Kotesovec, May 04 2014
Conjectures: a(5*n+3) == 0 (mod 5), a(5*n+4) == 0 (mod 5) and a(5*n+2) - 2*a(5*n+1) == (0 mod 5) (all checked up to n = 49). - Peter Bala, Jun 19 2023
PROG
(PARI) a(n)=polcoeff(sum(i=0, 2*n+1, prod(j=1, i, 1-(x-1)^j, 1+x*O(x^n))), n)
CROSSREFS
KEYWORD
nonn
AUTHOR
Bill Gosper, Aug 19 2001
EXTENSIONS
More terms from Vladeta Jovovic, Aug 20 2001
STATUS
approved