[seqfan] Re: Add the largest invisible digit

Hans Havermann gladhobo at teksavvy.com
Tue Apr 14 16:59:13 CEST 2015


Here’s the output {index of (initial) maximum, maximum} for bases 2 to 10, first term 0 to base-1:

base 2, start with 0: {2,1}  1
base 2, start with 1: {1,1}  1
base 3, start with 0: {4,5}  12
base 3, start with 1: {3,5}  12
base 3, start with 2: {3,5}  12
base 4, start with 0: {14,30}  132
base 4, start with 1: {13,30}  132
base 4, start with 2: {13,30}  132
base 4, start with 3: {13,30}  132
base 5, start with 0: {67,214}  1324
base 5, start with 1: {67,214}  1324
base 5, start with 2: {66,214}  1324
base 5, start with 3: {66,214}  1324
base 5, start with 4: {66,214}  1324
base 6, start with 0: {463,1865}  12345
base 6, start with 1: {463,1865}  12345
base 6, start with 2: {462,1865}  12345
base 6, start with 3: {462,1865}  12345
base 6, start with 4: {462,1865}  12345
base 6, start with 5: {462,1865}  12345
base 7, start with 0: {4806,22881}  123465
base 7, start with 1: {4805,22881}  123465
base 7, start with 2: {4805,22881}  123465
base 7, start with 3: {4805,22881}  123465
base 7, start with 4: {4805,22881}  123465
base 7, start with 5: {4805,22881}  123465
base 7, start with 6: {4805,22881}  123465
base 8, start with 0: {58993,342447}  1234657
base 8, start with 1: {58993,342447}  1234657
base 8, start with 2: {58993,342447}  1234657
base 8, start with 3: {58993,342447}  1234657
base 8, start with 4: {58993,342447}  1234657
base 8, start with 5: {58992,342447}  1234657
base 8, start with 6: {58992,342447}  1234657
base 8, start with 7: {58992,342447}  1234657
base 9, start with 0: {910522,6053444}  12345678
base 9, start with 1: {910521,6053444}  12345678
base 9, start with 2: {910521,6053444}  12345678
base 9, start with 3: {910521,6053444}  12345678
base 9, start with 4: {910521,6053444}  12345678
base 9, start with 5: {910521,6053444}  12345678
base 9, start with 6: {910521,6053444}  12345678
base 9, start with 7: {910521,6053444}  12345678
base 9, start with 8: {910521,6053444}  12345678
base 10, start with 0: {16173533,123456798}  123456798
base 10, start with 1: {16173532,123456798}  123456798
base 10, start with 2: {16173532,123456798}  123456798
base 10, start with 3: {16173532,123456798}  123456798
base 10, start with 4: {16173532,123456798}  123456798
base 10, start with 5: {16173532,123456798}  123456798
base 10, start with 6: {16173532,123456798}  123456798
base 10, start with 7: {16173532,123456798}  123456798
base 10, start with 8: {16173532,123456798}  123456798
base 10, start with 9: {16173532,123456798}  123456798

> On Apr 14, 2015, at 9:58 AM, Benoît Jubin <benoit.jubin at gmail.com> wrote:
> 
> The equivalent sequences in base 2 and 3 (starting with any digit) also
> stabilize. Is it always infinite and does it always stabilize? Hans, can
> you adapt your program to study the nine (reasequences in bases 4 and 5?



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