A224871 First occurrence of n consecutive n's in the decimal expansion of sqrt(2).

2, 114, 1481, 3308, 72459, 226697, 969836, 119555442, 2971094743

Offset

1,1

Comments

Earls sequence for sqrt(2).

Links

Table of n, a(n) for n=1..9.

Eric Weisstein's World of Mathematics, Pythagoras's Constant Digits

Eric Weisstein's World of Mathematics, Earls Sequence

Example

sqrt(2) = 1.4142...0912297..., so
a(1) = 2 (one 1 first appears at digit 2 after the decimal) and
a(2) = 114 (two 2s first occur starting at digit 114).

Crossrefs

Cf. A000129 (decimal expansion of sqrt(2)).

Sequence in context: A053976 A217088 A034312 * A230471 A140986 A157068

Adjacent sequences: A224868 A224869 A224870 * A224872 A224873 A224874

Keyword

nonn,base,hard

Author

Eric W. Weisstein, Jul 23 2013

Status

approved