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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 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: A089562 A104621 A331900 * 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 February 23 05:29 EST 2020. Contains 332159 sequences. (Running on oeis4.)