|
|
A080406
|
|
Boustrophedon transform of the continued fraction of Pi (cf. A001203).
|
|
3
|
|
|
3, 10, 32, 73, 457, 1994, 6407, 29489, 148253, 852592, 5420543, 37975111, 290066507, 2400720769, 21396506651, 204322668174, 2081209926313, 22523982873141, 258105780607144, 3121989826825492, 39750408190737416
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
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).
|
|
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
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 17 2003
|
|
STATUS
|
approved
|
|
|
|