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A341282 Numbers k such that there is no k-digit number m with the property that the binary expansion of m begins with the base-10 digits of m. 2
4, 7, 10, 13, 32, 35, 38, 41, 60, 63, 66, 69, 72, 91, 94, 97, 100, 119, 122, 125, 128, 131, 150, 153, 156, 159, 178, 181, 184, 187, 206, 209, 212, 215, 218, 237, 240, 243, 246, 265, 268, 271, 274, 277, 296, 299, 302, 305, 324, 327, 330, 333, 352, 355, 358, 361, 364, 383, 386, 389 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
This sequence is based on a problem proposed on the French math site Diophante.
Equivalently, numbers k such that A341281(k) = 0.
LINKS
Diophante, A107, Binaire = décimal (in French).
EXAMPLE
The 3-digit number 110 is such that 110_10 = 1101110_2 and 110 is the smallest 3-digit number whose binary expansion's first three digits is equal to its decimal expansion, so 3 is not a term.
There is no 4-digit number m whose binary expansion's first 4 digits are the base-10 digits of m. Indeed, the 5-digit integer 10010_10 = 10011100011010_2 is the smallest integer whose binary and decimal expansions coincide through the first 4 digits (1001), but 10010 is not a 4-digit number, hence 4 is a term.
CROSSREFS
Cf. A181929, A305213, A341281, A342363 (first differences).
Sequence in context: A119256 A143454 A318774 * A065810 A123837 A125620
KEYWORD
nonn,base
AUTHOR
Bernard Schott, Feb 22 2021
EXTENSIONS
More terms from Michel Marcus, Feb 25 2021
STATUS
approved

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Last modified July 19 17:03 EDT 2024. Contains 374410 sequences. (Running on oeis4.)