The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A329297 Numbers whose digits are in nondecreasing order in bases 7 and 8. 6
 0, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 18, 19, 20, 27, 73, 74, 75, 76, 82, 83, 118, 146, 173, 174, 228, 229, 230, 237, 293, 587, 685, 804, 2925, 14062, 42131, 42132, 42139, 411942 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS There are no more terms through 10^10000 (which is an 11833-digit number in base 7 and an 11074-digit number in base 8). But can it be proved that 411942 is the final term of the sequence? LINKS Table of n, a(n) for n=1..40. EXAMPLE Sequence includes 7 terms that are 1-digit numbers in both bases, 9 terms that are 2-digit numbers in both bases, and the following: a(17) = 73 = 133_7 = 111_8 a(18) = 74 = 134_7 = 112_8 a(19) = 75 = 135_7 = 113_8 a(20) = 76 = 136_7 = 114_8 a(21) = 82 = 145_7 = 122_8 a(22) = 83 = 146_7 = 123_8 a(23) = 118 = 226_7 = 166_8 a(24) = 146 = 266_7 = 222_8 a(25) = 173 = 335_7 = 255_8 a(26) = 174 = 336_7 = 256_8 a(27) = 228 = 444_7 = 344_8 a(28) = 229 = 445_7 = 345_8 a(29) = 230 = 446_7 = 346_8 a(30) = 237 = 456_7 = 355_8 a(31) = 293 = 566_7 = 445_8 a(32) = 587 = 1466_7 = 1113_8 a(33) = 685 = 1666_7 = 1255_8 a(34) = 804 = 2226_7 = 1444_8 a(35) = 2925 = 11346_7 = 5555_8 a(36) = 14062 = 55666_7 = 33356_8 a(37) = 42131 = 233555_7 = 122223_8 a(38) = 42132 = 233556_7 = 122224_8 a(39) = 42139 = 233566_7 = 122233_8 a(40) = 411942 = 3333666_7 = 1444446_8 CROSSREFS Intersection of A023749 (base 7) and A023750 (base 8). Numbers whose digits are in nondecreasing order in bases b and b+1: A329294 (b=4), A329295 (b=5), A329296 (b=6), this sequence (b=7), A329298 (b=8), A329299 (b=9). See A329300 for the (apparently) largest term of each of these sequences. Sequence in context: A286262 A330029 A201992 * A236562 A157189 A136250 Adjacent sequences: A329294 A329295 A329296 * A329298 A329299 A329300 KEYWORD nonn,base AUTHOR Jon E. Schoenfield, Nov 17 2019 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 June 7 21:29 EDT 2023. Contains 363157 sequences. (Running on oeis4.)