A320299 Lengths of runs of consecutive zeros in binary expansion of Pi.

0, 2, 2, 4, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 3, 4, 1, 0, 1, 3, 0, 4, 3, 0, 1, 2, 0, 3, 2, 0, 3, 0, 2, 0, 3, 1, 3, 1, 0, 0, 7, 0, 1, 0, 0, 5, 0, 0, 2, 0, 1, 3, 2, 1, 2, 6, 2, 2, 0, 0, 5, 3, 3, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 3, 0, 0, 1, 8, 5, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 3, 0, 0, 1, 0, 3, 2, 0, 0, 2, 0, 1, 0, 2, 3, 2, 1, 3, 1, 2

Offset

1,2

Links

Table of n, a(n) for n=1..112.

Formula

a(n) = A004711(n+1) - A004711(n) - 1 = A320298(n) - 1 (this is about Pi/4, but they are essentially the same).

Mathematica

Flatten@ Map[If[Union@ # == {1}, ConstantArray[0, Length@ # - 1], Length@ #] &, Split@ RealDigits[Pi, 2, 250][[1]] ] (* Michael De Vlieger, Oct 20 2018 *)

Crossrefs

Cf. A004711, A320298.

Sequence in context: A088251 A229627 A140839 * A357969 A292943 A279906

Adjacent sequences: A320296 A320297 A320298 * A320300 A320301 A320302

Keyword

nonn,base

Author

Jack Zhang, Oct 10 2018

Status

approved