A373165 Decimal expansion of 1/(5 + 2*sqrt(3)).

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

Offset

0,3

Links

Table of n, a(n) for n=0..85.

Formula

Equals Sum_{k>=0} sin(5k*Pi/6)/2^k.

Example

0.11814602960478810868808517822986578970110...

Mathematica

s = Sum[Sin[5 k Pi/6]/2^k, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[1/(5 + 2 Sqrt[3]), 100]

Crossrefs

Cf. A372912, A372913, A373166.

Sequence in context: A117038 A365935 A172168 * A371874 A321095 A021555

Adjacent sequences: A373162 A373163 A373164 * A373166 A373167 A373168

Keyword

nonn,cons

Author

Clark Kimberling, Jul 22 2024

Status

approved