OFFSET
0,3
LINKS
Paul D. Hanna, Table of n, a(n) for n = 0..300
FORMULA
a(n) ~ c * 4^n / n^(3/2), where c = 0.585811817455537... - Vaclav Kotesovec, Jun 18 2019
EXAMPLE
G.f.: A(x) = 1 + x + 2*x^2 + 7*x^3 + 16*x^4 + 49*x^5 + 158*x^6 + 480*x^7 + 1565*x^8 + 5372*x^9 + 18168*x^10 + 63018*x^11 + 223069*x^12 + ...
such that
log( A(x) ) = x + 3*x^2/2 + 16*x^3/3 + 35*x^4/4 + 141*x^5/5 + 528*x^6/6 + 1744*x^7/7 + 6435*x^8/8 + 25225*x^9/9 + 92743*x^10/10 + 352782*x^11/11 + 1364216*x^12/12 + ... + A322191(n)*x^n/n + ...
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Dec 10 2018
STATUS
approved