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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
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
Sequence in context: A241517 A145433 A055200 * A093590 A065629 A049249
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Jan 26 2019
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)