A039624 Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.

4, 6, 8, 16, 30, 32, 6356, 6358, 6360, 6362, 6364, 6368, 6370, 6372, 6374, 6384, 6430, 6442, 6444, 6446, 6450, 6464, 6468, 6470, 6508, 6514, 6524, 6526, 6562, 6564, 6568, 6570, 6572, 6586, 6588, 6688, 6690, 6692, 6694, 6806, 6866, 6916, 6918, 6920, 6922

Offset

1,1

Comments

Number of terms < 10^k: 3, 6, 6, 129, 599, 777, ..., . - Robert G. Wilson v, Apr 13 2009

Number of terms < 10^k (k = 7, 8, 9, 10): 1646, 1646, 45915, 147043. - Hans Havermann, Nov 25 2016

A039624 terms are the indices of zeros in A166006. - Hans Havermann, Nov 25 2016

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..777

Hans Havermann, Table of n, a(n) for n = 1..147043

Mathematica

pir = RealDigits[Pi, 2, 10^6][[1]]; fQ[n_] := Count[ Take[ pir, 2n], 1] == n; 2 Select[ Range@ 3461, fQ@# &] (* Robert G. Wilson v, Apr 13 2009 *)
Position[Accumulate[RealDigits[Pi, 2, 7000][[1]]/.(0->-1)], 0]//Flatten (* Harvey P. Dale, Jan 18 2019 *)

Crossrefs

Cf. A004601, A166006.

Sequence in context: A049421 A260314 A238269 * A083166 A185292 A022599

Adjacent sequences: A039621 A039622 A039623 * A039625 A039626 A039627

Keyword

base,nonn

Author

Brian Galebach

Extensions

More terms from Alexander D. Healy, Jun 22 2001

Status

approved