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A176439 Decimal expansion of (7+sqrt(53))/2. 6
7, 1, 4, 0, 0, 5, 4, 9, 4, 4, 6, 4, 0, 2, 5, 9, 1, 3, 5, 5, 4, 8, 6, 5, 1, 2, 4, 5, 7, 6, 3, 5, 1, 6, 3, 9, 6, 8, 8, 8, 8, 3, 4, 8, 4, 1, 2, 8, 8, 2, 3, 8, 7, 1, 9, 1, 8, 9, 0, 9, 0, 8, 9, 5, 6, 4, 2, 0, 5, 7, 8, 6, 9, 3, 1, 2, 4, 5, 2, 5, 9, 1, 6, 6, 4, 7, 8, 9, 7, 0, 4, 5, 4, 0, 4, 6, 3, 3, 7, 6, 0, 9, 6, 3, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Continued fraction expansion of (7+sqrt(53))/2 is A010727.

This is the shape of a 7-extension rectangle; see A188640 for definitions.  [From Clark Kimberling, Apr 09 2011]

LINKS

Table of n, a(n) for n=1..105.

Wikipedia, Metallic mean

EXAMPLE

(7+sqrt(53))/2 = 7.14005494464025913554...

MATHEMATICA

r=7; t = (r + (4+r^2)^(1/2))/2; FullSimplify[t]

N[t, 130]

RealDigits[N[t, 130]][[1]]

PROG

(PARI) (7+sqrt(53))/2 \\ Charles R Greathouse IV, Jul 24 2013

CROSSREFS

Cf. A010506 (decimal expansion of sqrt(53)), A010727 (all 7's sequence).

Sequence in context: A201585 A089562 A104621 * A048834 A010504 A242132

Adjacent sequences:  A176436 A176437 A176438 * A176440 A176441 A176442

KEYWORD

cons,nonn

AUTHOR

Klaus Brockhaus, Apr 19 2010

STATUS

approved

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Last modified December 18 12:36 EST 2018. Contains 318229 sequences. (Running on oeis4.)