A245256 - OEIS

A245256

Decimal expansion of y_2, the second of four non-explicit constants recursively derived from Khintchine's [Khinchin's] constant.

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

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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..102.

Herman P. Robinson, Mathematical Constants.

EXAMPLE

3.30384219630718251298905725146305146363000806852201418586337176944971...

MATHEMATICA

K = Khinchin; a[0] = pi[0] = 3; pi[n_] := Product[a[i], {i, 0, n}]; Clear[a]; a[n_] := a[n] = Floor[K^(n+1)/pi[n-1]] + 1; FromContinuedFraction[Array[a, 300, 0]] // RealDigits[#, 10, 102]& // First

CROSSREFS

Cf. A002210, A245255, A245257, A245258.

Sequence in context: A376032 A339702 A260636 * A347149 A140686 A116580

Adjacent sequences: A245253 A245254 A245255 * A245257 A245258 A245259

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Jul 15 2014

STATUS

approved