A178709 Position of start of first appearance of n consecutive 1's in the binary expansion of Pi.

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

Offset: 1

Author

Will Nicholes, Jun 06 2010

Keywords

• base
• nonn

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.

Examples

			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.
		

Crossrefs

Cf. A004601, A035117, A178708.

Programs

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 *)

Extensions

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