A332492 Self-locating numbers within the decimal expansion of log(2): strings k beginning at position k (first digit after decimal point is position 2).

7, 23, 52, 54, 86, 303, 389, 5112, 60392, 87491, 94788, 97115, 616916, 672938066

Offset

1,1

Comments

a(15) > 10^9.

52 and 54 are self-locating numbers which appear consecutively in log(2) = 0.693...5254....

Links

Table of n, a(n) for n=1..14.

Example

For 0.693147..., if 6 appears at position 2, then 7 appears at position 7.

Mathematica

dlog2 = RealDigits[Log[2], 10, 1000010][[1]]; Select[Range[2, 1000000], FromDigits[Take[dlog2, {# - 1, # - 2 + IntegerLength[#]}]] == # &] (* Vaclav Kotesovec, Feb 18 2020 *)

Crossrefs

Decimal expansion of log(2): A002162.

Self-locating digits of Pi: A057679, A153220.

Sequence in context: A098334 A299255 A038796 * A304724 A211791 A004068

Adjacent sequences: A332489 A332490 A332491 * A332493 A332494 A332495

Keyword

nonn,base,more

Author

S. Alwin Mao, Feb 14 2020

Status

approved