A245255 Decimal expansion of y_1, the first of four non-explicit constants recursively derived from Khintchine's [Khinchin's] constant.

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

Offset

1,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 1.8.1 Alternative representations [of real numbers], p. 63.

Links

Table of n, a(n) for n=1..105.

Herman P. Robinson, Mathematical Constants.

Example

2.303842196283770422112375608882267846971196077828808534219305173...

Mathematica

K = Khinchin; a[0] = pi[0] = 2; pi[n_] := Product[a[i], {i, 0, n}]; Clear[a]; a[n_] := a[n] = Floor[K^(n+1)/pi[n-1]]; FromContinuedFraction[Array[a, 300, 0]] // RealDigits[#, 10, 105]& // First

Crossrefs

Cf. A002210, A245256, A245257, A245258.

Sequence in context: A187988 A035549 A329970 * A180188 A316607 A194365

Adjacent sequences: A245252 A245253 A245254 * A245256 A245257 A245258

Keyword

nonn,cons

Author

Jean-François Alcover, Jul 15 2014

Status

approved