The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A191815 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A191815

Decimal expansion of the number 1+2/(1+3/(1+5/(1+7/(1+11/(...))))), where the numerators are the primes.
(history; published version)

#9 by Bruno Berselli at Thu Sep 26 06:13:17 EDT 2013

STATUS

proposed

approved

#8 by Michel Marcus at Thu Sep 26 06:09:48 EDT 2013

STATUS

editing

proposed

#7 by Michel Marcus at Thu Sep 26 06:09:44 EDT 2013

PROG

(PARI) default(realprecision, 80); s=sqrt(p=1e6); while( p=precprime(p-1), s=p/(1+s)); return(1+s)

STATUS

approved

editing

#6 by Charles R Greathouse IV at Sat Jul 14 11:32:34 EDT 2012

AUTHOR

_M. F. Hasler (www.univ-ag.fr/~mhasler), _, Jun 17 2011

Discussion

Sat Jul 14

11:32

OEIS Server: https://oeis.org/edit/global/1815

#5 by M. F. Hasler at Fri Jun 17 00:29:33 EDT 2011

STATUS

reviewed

approved

#4 by M. F. Hasler at Fri Jun 17 00:29:23 EDT 2011

STATUS

proposed

reviewed

#3 by M. F. Hasler at Fri Jun 17 00:28:29 EDT 2011

COMMENTS

Inspired by A19150A191504 = 1/(1+1/A191815).

Successive applications of x -> 1+1/x (resp. x -> 1/(1+x)) yield a sequence converging to the Golden ratio (sqrt(5)+1)/2 (resp. (sqrt(5)-1)/2), A001622.

CROSSREFS

Cf. A191816 for the continued fraction.

#2 by M. F. Hasler at Fri Jun 17 00:11:54 EDT 2011

NAME

allocated for M. F. Hasler

Decimal expansion of the number 1+2/(1+3/(1+5/(1+7/(1+11/(...))))), where the numerators are the primes.

DATA

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

OFFSET

1,2

COMMENTS

Inspired by A19150.

EXAMPLE

1.959405116020799280441759778412638696681915440489946897372699094159269766...

PROG

default(realprecision, 80); s=sqrt(p=1e6); while( p=precprime(p-1), s=p/(1+s)); return(1+s)

KEYWORD

allocated

nonn,cons

AUTHOR

M. F. Hasler (www.univ-ag.fr/~mhasler), Jun 17 2011

STATUS

approved

proposed

#1 by M. F. Hasler at Fri Jun 17 00:11:54 EDT 2011

NAME

allocated for M. F. Hasler

KEYWORD

allocated

STATUS

approved