The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 Michel Marcus, Table of n, a(n) for n = 1..75 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 Adjacent sequences: A341279 A341280 A341281 * A341283 A341284 A341285 KEYWORD nonn,base AUTHOR Bernard Schott, Feb 22 2021 EXTENSIONS More terms from Michel Marcus, Feb 25 2021 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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