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A087044
Decimal expansion of a number x such that adding exp(1) to each of the partial quotients of the continued fraction of x evaluates to x+2.
1
9, 8, 6, 2, 4, 9, 0, 1, 5, 0, 4, 4, 8, 5, 9, 3, 3, 6, 3, 7, 0, 0, 3, 4, 7, 4, 3, 0, 0, 5, 8, 8, 2, 7, 8, 2, 3, 1, 1, 3, 2, 5, 3, 4, 2, 6, 0, 8, 6, 4, 6, 3, 3, 0, 1, 5, 5, 9, 5, 1, 4, 9, 4, 2, 1, 5, 8, 8, 4, 1, 2, 6, 7, 7, 7, 6, 1, 5, 0, 8, 1, 0, 5, 1, 5, 3, 9, 1, 6, 4, 8, 3, 8, 1, 1, 0, 0, 7, 5, 0
OFFSET
0,1
COMMENTS
The continued fraction of x is [2; 1, 71, 1, 2, 1, 1, 2, 19, 21, 2, 1, 1, ...] and [0+e; 1+e, 71+e, 1+e, 2+e, 1+e, 1+e, 2+e, 19+e, 21+e, 2+e, 1+e, 1+e, ...] = [2; 1, 71, 1, 2, 1, 1, 2, 19, 21, 2, 1, 1, 1, 3, 9, ...] = x+2.
EXAMPLE
x=0.986249015044859336370034743005882782311325342608646330155951494215884126777
CROSSREFS
Cf. A087043.
Sequence in context: A002391 A193626 A316600 * A246168 A248585 A105415
KEYWORD
nonn,cons
AUTHOR
Paul D. Hanna, Aug 02 2003
STATUS
approved