A225763 First occurrence of n consecutive n's in the decimal expansion of the Glaisher-Kinkelin constant.

7, 14, 2264, 1179, 411556

Offset

1,1

Comments

Earls sequence for the Glaisher-Kinkelin constant.

a(6) > 5*10^5 - Eric W. Weisstein, Dec 03 2015

Links

Table of n, a(n) for n=1..5.

Eric Weisstein's World of Mathematics, Glaisher-Kinkelin Constant Digits

Eric Weisstein's World of Mathematics, Earls Sequence

Example

A = 1.2824271291006226369.., so
a(1) = 7 (one 1 first appears at digit 7 after the decimal point)
a(2) = 14 (two 2s first occur starting at digit 14)

Mathematica

c = Rest@ First@ RealDigits[N[Glaisher, 3000]]; SequencePosition[c, #][[1, 1]] &@ Table[#, {#}] & /@ Range@ 4 (* Michael De Vlieger, Dec 03 2015, Version 10.1 *)

Crossrefs

Cf. A074962 (decimal expansion of the Glaisher-Kinkelin constant).

Sequence in context: A369122 A061522 A213151 * A070407 A069841 A289940

Adjacent sequences: A225760 A225761 A225762 * A225764 A225765 A225766

Keyword

nonn,hard,base

Author

Eric W. Weisstein, Jul 25 2013

Extensions

a(5) from Eric W. Weisstein, Dec 03 2015

Status

approved