A277754 - OEIS

A277754

Decimal expansion of Sum_{n>=1} sin((n*Pi)/3)^n.

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

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OFFSET

1,1

COMMENTS

The sum of four easily recognized geometric series that have common ratio 9/64.

An algebraic number with minimal polynomial 1369x^2 - 6216x + 6468. - Charles R Greathouse IV, Oct 29 2016

LINKS

Michelle Huff, Table of n, a(n) for n = 1..10000

FORMULA

Equals (14/37)*(6 + sqrt(3)).

EXAMPLE

2.92564084610714275971308780...