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A051007 Continued fraction for prime constant A051006. 6
0, 2, 2, 2, 3, 12, 131, 1, 7, 1, 2, 1, 3, 3, 1, 2, 5, 39, 2, 1, 169, 2, 2, 2, 1, 1, 2, 5, 1, 2, 1, 199, 24, 7, 7, 1, 163, 1, 3, 2, 1, 2, 14, 1, 3, 5, 1, 1, 1, 1, 3, 3, 2, 1, 279, 1, 4, 1, 1, 4, 1, 92, 1, 16, 2, 3, 1, 5, 2, 25, 9, 1, 1, 2, 8, 1, 2, 5, 1, 1, 3, 1, 1, 2, 1, 7, 1, 1, 1, 5, 1, 2, 2, 5, 6, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..20000

Eric Weisstein's World of Mathematics, Prime Constant.

G. Xiao, Contfrac

Index entries for continued fractions for constants

EXAMPLE

0.414682509851111660248109622... = 0 + 1/(2 + 1/(2 + 1/(2 + 1/(3 + ...)))). - Harry J. Smith, Jun 15 2009

MATHEMATICA

ContinuedFraction[ FromDigits[{{Table[ If[ PrimeQ[n], 1, 0], {n, 370}]}, 0}, 2], 95] (* Robert G. Wilson v, Jan 15 2005 *)

PROG

(PARI) { default(realprecision, 20080); x=0; m=67000; for (n=1, m, if (isprime(n), a=1, a=0); x=2*x+a; ); x=contfrac(x/2^m); for (n=0, 20000, write("b051007.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 15 2009

CROSSREFS

Cf. A010051, A051006. Increasing partial quotients are in A102878.

Sequence in context: A010583 A306343 A238188 * A240166 A326375 A071470

Adjacent sequences:  A051004 A051005 A051006 * A051008 A051009 A051010

KEYWORD

nonn,cofr

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified April 11 15:49 EDT 2021. Contains 342886 sequences. (Running on oeis4.)