OFFSET
1,1
FORMULA
G.f.: (1+3*x-sqrt(1-6*x+5*x^2))/2 - Michael Somos, Jun 08 2000
G.f.: (1+3*x - (1-5*x)*G(0))/(2*x), where G(k)= 1 + 4*x*(4*k+1)/( (4*k+2)*(1-x) - 2*x*(1-x)*(2*k+1)*(4*k+3)/(x*(4*k+3) + (1-x)*(k+1)/G(k+1))); (continued fraction). - Sergei N. Gladkovskii, Jun 25 2013
D-finite with recurrence n*a(n) +3*(-2*n+3)*a(n-1) +5*(n-3)*a(n-2)=0. - R. J. Mathar, Feb 25 2015
PROG
(PARI) a(n)=polcoeff((1+3*x-sqrt(1-6*x+5*x^2+x*O(x^n)))/2, n)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved