A068479 Engel expansion of Gamma(1/4)=3.62560990822190831193...

1, 1, 1, 2, 4, 205, 4009, 5523, 14063, 32669, 47704, 196620, 589791, 782889, 804393, 849445, 976320, 1256587, 1789793, 9067576, 17283444, 18567900, 24793858, 59704212, 60741675, 130071084, 216799081, 1518169585, 4849913556

Offset: 1

Author

Benoit Cloitre, Mar 10 2002

Keywords

• easy
• nonn

Comments

The Gamma function is defined by Gamma(0)=1 and the functional equation Gamma(x+1)=(x+1)*Gamma(x) Gamma(1/4)=3.62560990822190831193...

Crossrefs

Cf. A006784.

Programs

PARI

s=gamma(1/4); for(i=0,40,s=s*ceil(1/s)-1; print1(ceil(1/s),","); );

Formula

Gamma(1/4)=sum(i>0, prod(n=1, i, 1/a(n)))