A076216 Partial sum of coefficients in the continued fraction expansion of sum(k>=0,1/2^(2^k-1)).

1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 84, 85, 86

Offset

1,2

Links

Table of n, a(n) for n=1..72.

Formula

a(n)=sum(k=1, n, A006466(k)). lim n ->infinity a(n)/n = 6/5 and 0<=6*n-5*a(n)<=7

Crossrefs

Sequence in context: A183302 A323733 A003247 * A013919 A101771 A035058

Adjacent sequences: A076213 A076214 A076215 * A076217 A076218 A076219

Keyword

nonn

Author

Benoit Cloitre, Nov 03 2002

Extensions

Corrected by T. D. Noe, Nov 02 2006

Status

approved