A087042 - OEIS

A087042

Decimal expansion of a number x such that adding Pi to each of the partial quotients of the continued fraction of x evaluates to x+3.

2, 9, 9, 6, 3, 4, 7, 2, 5, 7, 9, 2, 9, 8, 4, 9, 3, 4, 6, 7, 8, 1, 1, 9, 7, 4, 2, 2, 5, 5, 1, 5, 0, 0, 6, 6, 7, 6, 4, 7, 1, 4, 6, 8, 8, 4, 1, 8, 3, 7, 5, 8, 6, 8, 8, 9, 6, 7, 5, 7, 3, 2, 5, 9, 9, 3, 5, 0, 1, 3, 8, 9, 9, 6, 2, 3, 4, 3, 1, 3, 5, 0, 6, 5, 0, 2, 8, 2, 5, 3, 6, 9, 9, 4, 1, 8, 2, 4, 7, 2

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OFFSET

0,1

COMMENTS

The continued fraction of x is [0; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, ...]; adding Pi to each partial quotient results in [0+Pi; 3+Pi, 2+Pi, 1+Pi, 26+Pi, 1+Pi, 2+Pi, 10+Pi, 1+Pi, 2+Pi, ...] = [3; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, 1, ...] = x+3.

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

x=0.299634725792984934678119742255150066764714688418375868896757325993501389962

CROSSREFS

Cf. A087041.

Sequence in context: A309927 A016643 A305308 * A266274 A003678 A201683

Adjacent sequences: A087039 A087040 A087041 * A087043 A087044 A087045

KEYWORD

cons,nonn

AUTHOR

Paul D. Hanna, Aug 02 2003

STATUS

approved