A323983 Decimal expansion of sinh(Pi/6).

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

Offset

0,1

Comments

Decimal expansion of sum sigma_2 involved in calculation of i^i. [Uhler]

Links

Robert G. Wilson v, Table of n, a(n) for n = 0..1000

H. S. Uhler, On the numerical value of i^i, Amer. Math. Monthly, 28 (1921), 114-116.

Formula

A323982 + A323983 = A323984.

Example

0.5478534738880398084757156477174314033527835217758617619908956382877300771661...

Mathematica

a[0] = a[1] = 1; a[n_] := ((n - 2)^2 + 1) a[n - 2]; t[x_] := N[(1/2)^x*a[x]/x!, 128]; RealDigits[Sum[t[x], {x, 1, 421, 2}], 10, 111][[1]] (* Robert G. Wilson v, Feb 16 2019 *)
RealDigits[Sinh[Pi/6], 10, 120][[1]] (* Vaclav Kotesovec, Feb 16 2019 *)

Crossrefs

Cf. A323982, A323984, A323985, A323986, A323987.

Sequence in context: A011285 A111421 A324021 * A333203 A340705 A252666

Adjacent sequences: A323980 A323981 A323982 * A323984 A323985 A323986

Keyword

nonn,cons

Author

N. J. A. Sloane, Feb 11 2019

Extensions

More digits from Robert G. Wilson v, Feb 16 2019

Simpler definition from Vaclav Kotesovec, Feb 16 2019

Status

approved