A212224 - OEIS

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A212224

Decimal expansion of phi^(2/Pi), the base of golden spiral

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

In polar coordinates (r,theta), a golden spiral equation is r~c^theta, where c is this constant, with phi being the golden ratio (A001622).

LINKS

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

Wikipedia, Golden spiral

EXAMPLE

1.3584562741829884352061806...

MATHEMATICA

RealDigits[GoldenRatio^(2/Pi), 10, 120][[1]] (* Harvey P. Dale, Jul 16 2012 *)