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A121570 Decimal expansion of cosecant of 36 degrees = csc(Pi/5). +0
4
1, 7, 0, 1, 3, 0, 1, 6, 1, 6, 7, 0, 4, 0, 7, 9, 8, 6, 4, 3, 6, 3, 0, 8, 0, 9, 9, 4, 1, 2, 6, 0, 2, 2, 1, 4, 4, 4, 8, 0, 8, 0, 2, 8, 0, 7, 5, 2, 9, 6, 3, 3, 7, 6, 3, 6, 7, 3, 4, 8, 0, 4, 8, 4, 7, 5, 5, 7, 6, 8, 0, 9, 4, 7, 2, 7, 9, 1, 7, 9, 3, 3, 3, 8, 8, 6, 4, 0, 7, 2, 8, 5, 5, 7, 0, 3, 5, 2, 4, 2, 8, 7, 6, 8, 0 (list; cons; graph; listen)
OFFSET

1,2

COMMENT

1 + csc(Pi/5) is the radius of the smallest circle into which 5 unit circles can be packed ("r=2.701+ Proved by Graham in 1968.", according to the Friedman link, which has a diagram). csc(Pi/5) [=1/A019845] is the distance between the center of the larger circle and the center of each unit circle.

LINKS

E. Friedman, Erich's Packing Center: "Circles in Circles"

EXAMPLE

1.701301616704079864363080994126...

PROGRAM

(PARI) 1/sin(Pi/5)

CROSSREFS

Cf. A019845 (1/A121570).

Sequence in context: A094898 A136115 A061846 this_sequence A153626 A101031 A156960

Adjacent sequences: A121567 A121568 A121569 this_sequence A121571 A121572 A121573

KEYWORD

cons,nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 08 2006

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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