A379334 Decimal expansion of the minimum value of the function s(t) = (Pi + 2*sqrt(1 + t^2))/(1 + Pi/2 + t) for t > 0.

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

Offset

1,2

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 7.4, p. 466.

Links

Table of n, a(n) for n=1..100.

Formula

Equals 2*(Pi + Pi^2 + sqrt(8 + Pi^3 + 4Pi*(3 + sqrt(2 + Pi)) + Pi^2*(7 + 2*sqrt(2 + Pi))))/(4 + Pi^2 + Pi*(4 + sqrt(2 + Pi))).

Example

1.65743478264911072351577202923336908988785497834...

Mathematica

RealDigits[2(Pi+Pi^2+Sqrt[8+Pi^3+4Pi(3+Sqrt[2+Pi])+Pi^2(7+2Sqrt[2+Pi])])/(4+Pi^2+Pi(4+Sqrt[2+Pi])), 10, 100][[1]]

Crossrefs

Cf. A000796, A002388, A019694, A091925.

Sequence in context: A211172 A152149 A338287 * A365927 A196400 A086268

Adjacent sequences: A379331 A379332 A379333 * A379335 A379337 A379338

Keyword

nonn,cons,new

Author

Stefano Spezia, Dec 21 2024

Status

approved