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A178709 Position of start of first appearance of n consecutive 1's in the binary expansion of Pi. 1
3, 11, 11, 11, 11, 11, 451, 645, 645, 645, 5212, 18123, 18123, 58276, 58276, 80697, 80697, 80697, 1146746, 1962901, 3296306, 9772065, 9772065, 9772065, 47536571, 169338693, 169338693, 207861698, 207861698, 207861698 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Out of the first 2^28 binary digits, 134220460 are "0" and 134214996 are "1". - Robert G. Wilson v, Jun 09 2010

This sequence ignores bits in the integer part of the binary expansion of Pi.

LINKS

Table of n, a(n) for n=1..30.

EXAMPLE

6 consecutive 1's are first found beginning at the 11th position in Pi's binary expansion, so the sixth term in this sequence is 11.

MATHEMATICA

pib = ToString@ FromDigits[ RealDigits[Pi - 3, 2, 2^28][[1]]]; f[n_] := 2 + StringPosition[ pib, ToString[(10^n - 1)/9], 1][[1, 1]]; Array[f, 30] (* Robert G. Wilson v, Jun 09 2010 *)

CROSSREFS

Cf. A004601, A035117, A178708.

Sequence in context: A038229 A257538 A080351 * A168378 A248410 A059200

Adjacent sequences:  A178706 A178707 A178708 * A178710 A178711 A178712

KEYWORD

base,nonn

AUTHOR

Will Nicholes, Jun 06 2010

EXTENSIONS

a(14)-a(30) from Robert G. Wilson v, Jun 09 2010

STATUS

approved

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Last modified September 26 00:10 EDT 2017. Contains 292500 sequences.