

A341282


Numbers k such that there is no kdigit number m with the property that the binary expansion of m begins with the base10 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
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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



EXAMPLE

The 3digit number 110 is such that 110_10 = 1101110_2 and 110 is the smallest 3digit number whose binary expansion's first three digits is equal to its decimal expansion, so 3 is not a term.
There is no 4digit number m whose binary expansion's first 4 digits are the base10 digits of m. Indeed, the 5digit 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 4digit number, hence 4 is a term.


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



