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

1,4

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...

Links

Table of n, a(n) for n=1..29.

Formula

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

Prog

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

Crossrefs

Cf. A006784.

Sequence in context: A009743 A009796 A018651 * A116010 A018677 A173637

Adjacent sequences: A068476 A068477 A068478 * A068480 A068481 A068482

Keyword

easy,nonn

Author

Benoit Cloitre, Mar 10 2002

Status

approved