OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..100
FORMULA
EXAMPLE
G.f.: A(x) = 1 + 20*x + 3850*x^2 + 1078000*x^3 +...
A(x)^2 = 1 + 40*x + 8100*x^2 + 2310000*x^3 +...+ A184892(n)*x^n +...
MATHEMATICA
Table[5^n/(n!)^2 Product[(10k+1)(10k+4), {k, 0, n-1}], {n, 0, 20}] (* Harvey P. Dale, Feb 02 2012 *)
FullSimplify[Table[2^(2*n) * 5^(3*n) * Gamma[n+1/10] * Gamma[n+2/5] / (Gamma[2/5] * Gamma[1/10] * Gamma[n+1]^2), {n, 0, 15}]] (* Vaclav Kotesovec, Jul 03 2014 *)
PROG
(PARI) {a(n)=(5^n/n!^2)*prod(k=0, n-1, (10*k+1)*(10*k+4))}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jan 25 2011
STATUS
approved