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A320985
Complement of A092855.
2
1, 4, 6, 8, 9, 10, 11, 12, 14, 15, 20, 21, 24, 25, 28, 29, 37, 38, 42, 47, 48, 51, 52, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 69, 70, 72, 78, 81, 82, 83, 85, 86, 89, 92, 93, 96, 100, 102, 104, 106, 107, 109, 111, 113, 119, 121, 122, 128, 129, 130, 134, 136, 139
OFFSET
1,2
COMMENTS
Positions of 0 in the binary expansion of sqrt(2) after the radix point. With a prepended 0, A092855 gives the positions of 1.
EXAMPLE
In binary, sqrt(2) is read as 1.0110101000001001111001... The 1st, 4th, 6th and 8th digits after the radix are 0's, so the first four terms are 1, 4, 6 and 8.
MATHEMATICA
PositionIndex[First[RealDigits[Sqrt[2], 2, 200, -1]]][0] (* Paolo Xausa, Aug 27 2024 *)
PROG
(PARI) default(realprecision, 150); x=sqrt(2); for(n=1, 150, if(!(floor(x*2^n)%2), print1(n, ", ")))
(PARI) Vec(select(x->(x==0), binary(sqrt(2))[2], 1)) \\ Michel Marcus, Oct 29 2018
CROSSREFS
Sequence in context: A365471 A228651 A045762 * A047748 A299540 A085558
KEYWORD
nonn,base
AUTHOR
Jianing Song, Oct 27 2018
STATUS
approved