A080406 Boustrophedon transform of the continued fraction of Pi (cf. A001203).

3, 10, 32, 73, 457, 1994, 6407, 29489, 148253, 852592, 5420543, 37975111, 290066507, 2400720769, 21396506651, 204322668174, 2081209926313, 22523982873141, 258105780607144, 3121989826825492, 39750408190737416

Offset

0,1

Links

Table of n, a(n) for n=0..20.

J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J.Combin. Theory, 17A (1996) 44-54 (Abstract, pdf, ps).

N. J. A. Sloane, Transforms

Index entries for sequences related to boustrophedon transform

Formula

a(n) appears to be asymptotic to C*n!*(2/Pi)^n where C=136.651536367325329682973604897976758877614262731284965133228708820... - Benoit Cloitre and Mark Hudson (mrmarkhudson(AT)hotmail.com)

Example

We simply apply the Boustrophedon transform to [3,7,15,1,292,1,1,1,...]

Crossrefs

Cf. A001203, A000796.

Sequence in context: A001403 A072136 A286444 * A036682 A104270 A038731

Adjacent sequences: A080403 A080404 A080405 * A080407 A080408 A080409

Keyword

nonn,easy

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 17 2003

Status

approved