A323982 Decimal expansion of cosh(Pi/6).

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

Offset

1,3

Comments

Decimal expansion of sum sigma_1 involved in calculation of i^i. [Uhler]

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..1000

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

Formula

A323982 + A323983 = A323984.

Example

1.1402383210764287921411319803793508907668976675113205505775099696012133160034...

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, 0, 421, 2}], 10, 111][[1]] (* Robert G. Wilson v, Feb 16 2019 *)
RealDigits[Cosh[Pi/6], 10, 120][[1]] (* Vaclav Kotesovec, Feb 16 2019 *)

Crossrefs

Cf. A323983, A323984, A323985, A323986, A323987.

Sequence in context: A123314 A058997 A261164 * A279415 A201399 A145894

Adjacent sequences: A323979 A323980 A323981 * A323983 A323984 A323985

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