login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A323755 Decimal expansion of a constant related to the asymptotics of A203475. 2
2, 7, 4, 5, 2, 8, 3, 5, 0, 3, 3, 3, 5, 5, 2, 9, 0, 3, 8, 0, 0, 4, 0, 8, 9, 9, 3, 4, 8, 2, 5, 0, 7, 4, 2, 8, 1, 4, 2, 3, 8, 3, 7, 8, 3, 7, 7, 3, 1, 9, 0, 4, 5, 1, 1, 8, 1, 0, 7, 2, 7, 2, 3, 7, 4, 2, 6, 9, 1, 6, 7, 8, 1, 0, 5, 7, 6, 2, 7, 4, 0, 6, 2, 0, 0, 1, 6, 5, 7, 0, 3, 2, 1, 2, 1, 9, 6, 1, 2, 5, 7, 4, 4, 5, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..296

FORMULA

Equals limit_{n->infinity} A203475(n) / (2^(n^2/2) * exp(Pi*n*(n+1)/4 - 3*n^2/2 + n) * n^(n*(n-1) - 3/4)).

Equals sqrt(Gamma(1/4)) * exp(Pi/24) / (2*Pi)^(9/8).

EXAMPLE

0.274528350333552903800408993482507428142383783773190451181072723742691...

MATHEMATICA

RealDigits[Sqrt[Gamma[1/4]] * E^(Pi/24) / (2^(9/8) * Pi^(9/8)), 10, 120][[1]]

CROSSREFS

Cf. A068466, A203475.

Sequence in context: A241517 A145433 A055200 * A093590 A065629 A049249

Adjacent sequences:  A323752 A323753 A323754 * A323756 A323757 A323758

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Jan 26 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 5 20:21 EDT 2020. Contains 335473 sequences. (Running on oeis4.)