A175813 Numbers m such that the first m decimal digits of Pi contain equal numbers of even and odd decimal digits.

84, 576, 578, 580, 582, 646, 654, 682, 684, 686, 688, 690, 692, 694, 696, 698, 700, 702, 706, 722, 736, 740, 742, 2406, 2408, 2414, 2416, 2430, 2432, 2438, 2440, 2502, 2504, 2506, 2512, 2514, 2516, 2518, 2522, 2524, 2540, 2542, 2546, 2548, 2756, 2758, 2762

Offset: 1

Author

Michel Lagneau, Sep 09 2010

Keywords

• nonn
• base

Comments

Is this sequence infinite?

Examples

			84 is in the sequence because the first 84 digits of Pi = 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986 include 42 odd digits and 42 even digits.
		

Links

• Pontus von Brömssen, Table of n, a(n) for n = 1..16886 (all terms below 10^9; terms 1..459 from Harvey P. Dale)

Crossrefs

Cf. A175792.

Programs

Mathematica

L= Rest@FoldList[ Plus, 0, (-1)^First@ RealDigits[Pi, 10, 3000]] ;Do[If [L[[n]]==0,Print[n]],{n,3000}]
Position[Accumulate[If[EvenQ[#],1,-1]&/@(RealDigits[Pi,10,3000][[1]])],0]//Flatten (* Harvey P. Dale, Jan 10 2024 *)