The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A329298 Numbers whose digits are in nondecreasing order in bases 8 and 9. 5
 0, 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23, 30, 31, 91, 92, 93, 94, 95, 101, 102, 103, 111, 151, 182, 183, 222, 223, 293, 294, 295, 303, 365, 366, 367, 374, 375, 822, 823, 831, 951, 1023, 10023, 14774, 14775, 14783, 599551, 608623, 1203126, 1203127, 1203135 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS There are no more terms through 10^10000 (which is an 11074-digit number in base 8 and a 10480-digit number in base 9). But can it be proved that 1203135 is the final term of the sequence? LINKS Table of n, a(n) for n=1..57. EXAMPLE Sequence includes 8 terms that are 1-digit numbers in both bases, 12 that are 2-digit numbers in both bases, 23 that are 3-digit terms in both bases, and the following: a(44) = 822 = 1466_8 = 1113_9 a(45) = 823 = 1467_8 = 1114_9 a(46) = 831 = 1477_8 = 1123_9 a(47) = 951 = 1667_8 = 1266_9 a(48) = 1023 = 1777_8 = 1356_9 a(49) = 10023 = 23447_8 = 14666_9 a(50) = 14774 = 34666_8 = 22235_9 a(51) = 14775 = 34667_8 = 22236_9 a(52) = 14783 = 34677_8 = 22245_9 a(53) = 599551 = 2222777_8 = 1113377_9 a(54) = 608623 = 2244557_8 = 1126777_9 a(55) = 1203126 = 4455666_8 = 2233336_9 a(56) = 1203127 = 4455667_8 = 2233337_9 a(57) = 1203135 = 4455677_8 = 2233346_9 CROSSREFS Intersection of A023750 (base 8) and A023751 (base 9). Numbers whose digits are in nondecreasing order in bases b and b+1: A329294 (b=4), A329295 (b=5), A329296 (b=6), A329297 (b=7), this sequence (b=8), A329299 (b=9). See A329300 for the (apparently) largest term of each of these sequences. Sequence in context: A032879 A032846 A023777 * A074946 A279455 A050687 Adjacent sequences: A329295 A329296 A329297 * A329299 A329300 A329301 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 September 23 17:20 EDT 2023. Contains 365554 sequences. (Running on oeis4.)