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A293727 Numbers k such that c(k,0) < c(k,1), where c(k,d) = number of d's in the first k digits of the base-2 expansion of sqrt(2). 4
1, 3, 4, 5, 6, 7, 8, 9, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence together with A293725 and A293728 partition the nonnegative integers.

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MATHEMATICA

z = 300; u = N[Sqrt[2], z]; d = RealDigits[u, 2][[1]];

t[n_] := Take[d, n]; c[0, n_] := Count[t[n], 0]; c[1, n_] := Count[t[n], 1];

Table[{n, c[0, n], c[1, n]}, {n, 1, 100}]

u = Select[Range[z], c[0, #] == c[1, #] &]  (* A293725 *)

u/2  (* A293726 *)

Select[Range[z], c[0, #] < c[1, #] &]  (* A293727 *)

Select[Range[z], c[0, #] > c[1, #] &]  (* A293728 *)

CROSSREFS

Cf. A004539, A002103, A293726, A293727, A293728.

Sequence in context: A097389 A051415 A037351 * A077528 A329254 A183296

Adjacent sequences:  A293724 A293725 A293726 * A293728 A293729 A293730

KEYWORD

nonn,easy,base

AUTHOR

Clark Kimberling, Oct 18 2017

STATUS

approved

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Last modified May 26 04:26 EDT 2022. Contains 354074 sequences. (Running on oeis4.)