OFFSET
1,1
COMMENTS
Appears that these terms are related to continued fraction of Pi through simple transforms; original continued fraction terms X,1 -> negative continued fraction term X+2 (e.g., 15,1->17, and 292,1->294); other transforms are to be determined.
REFERENCES
Leonard Eugene Dickson, History of the Theory of Numbers, page 379.
EXAMPLE
Pi = 4 - (1 / (2 - (1 / (2 - (1 / ...))))).
PROG
(PARI) \p10000; p=Pi; for(i=1, 300, print(i, " ", ceil(p)); p=ceil(p)-p; p=1/p )
CROSSREFS
KEYWORD
nonn
AUTHOR
Randy L. Ekl, Dec 26 2016
STATUS
approved