0,2

a(n)=sum(C(k)*5^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(5*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

Sixth column (m=5) of triangle A112705.

Sequence in context: A048348 A025749 A053336 this_sequence A093197 A052317 A122743

Adjacent sequences: A112696 A112697 A112698 this_sequence A112700 A112701 A112702

nonn,easy

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005