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?
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
KEYWORD
nonn,base
AUTHOR
Jon E. Schoenfield, Nov 17 2019
STATUS
approved