A185280 -id:A185280 - cp's OEIS frontend

A275408 Decimal expansion of Pi/(4*log(2)).

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

Offset: 1

Terry D. Grant, Jul 26 2016

			1.133090035456798452406920736429166702542965366930948896046504136985...

Cf. A002162, A003881, A185280 (Inverse).

A275408L[n_] := RealDigits[Pi/(4 Log[2]), 10, n][[1]]; A275408L[50] (* JungHwan Min, Jul 29 2016 *)

Pi/(4*log(2)) \\ Michel Marcus, Jul 27 2016

Equals (Sum_{n>=0} (-1)^n/(2*n+1)) / (Sum_{n>=1} (-1)^(n+1)/n) = A003881 / A002162.

Equals Integral_{x=0..oo} 1/(2^x + 2^(-x)) dx. - Amiram Eldar, Jul 16 2020

More digits from Jon E. Schoenfield, Mar 15 2018

A275526 Continued fraction of Pi/(4*log(2)).

Original entry on oeis.org

1, 7, 1, 1, 17, 1, 2, 1, 3, 5, 18, 1, 1, 6, 13, 3, 11, 170, 1, 1, 2, 3, 20, 6, 7, 2, 1, 5, 1, 20, 2, 2, 5, 6, 28, 3, 1, 1, 1, 2, 1, 1, 2, 3, 1, 81, 2, 2, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 2, 4, 2, 2, 1, 5, 1, 102, 4, 1, 20, 2, 1, 4, 12, 1, 2, 2, 5, 1, 3, 1, 2, 1, 2, 2, 1, 1, 1, 1, 7, 1, 10, 4, 1, 1, 2, 2, 10, 2, 1, 15, 5, 3, 3, 13, 1, 15, 1, 4, 1, 5

Offset: 0

Terry D. Grant, Jul 31 2016

Additionally, with zero added as the first term, this is the continued fraction of A185280, the inverse of A275408.

			Pi/(4*log(2)) = A275408 = 1 + 1/(7 + 1/(1 + 1/(1 + 1/(17 + ...)))).

Cf. A275408 (decimal expansion), A185280.

Mathematica
```
ContinuedFraction[Pi/(4 Log[2]), 110]
```

Offset changed by Andrew Howroyd, Jul 07 2024

cp's OEIS Frontend

A275408 Decimal expansion of Pi/(4*log(2)).

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