Keith Number/Examples

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Examples of Keith Numbers

The following are examples of Keith numbers:


Keith Number: $14$

$14$ is a Keith number:

$1, 4, 5, 9, 14, \ldots$


Keith Number: $19$

$19$ is a Keith number:

$1, 9, 10, 19, \ldots$


Keith Number: $197$

$197$ is a Keith number:

$1, 9, 7, 17, 33, 57, 107, 197, \ldots$


Keith Number: $129 \, 572 \, 008$

$129 \, 572 \, 008$ is a Keith number:

$1, 2, 9, 5, 7, 2, 0, 0, 8, \ldots, 32 \, 456 \, 930, 64 \, 849 \, 899, 129 \, 572 \, 008, \ldots$


Keith Number: $251 \, 133 \, 297$

$251 \, 133 \, 297$ is a Keith number:

$2, 5, 1, 1, 3, 3, 2, 9, 7, 33, 64, 123, 245, 489, 975, 1947, 3892, 7775,$
$15 \, 543, 31 \, 053, 62 \, 042, 123 \, 961, 247 \, 677, 494 \, 865, 988 \, 755,$
$1 \, 975 \, 563, 3 \, 947 \, 234, 7 \, 886 \, 693, 15 \, 757 \, 843, 31 \, 484 \, 633,$
$62 \, 907 \, 224, 125 \, 690 \, 487, 251 \, 133 \, 297, \ldots$


Keith Number: $754 \, 788 \, 753 \, 590 \, 897$

$754 \, 788 \, 753 \, 590 \, 897$ is a Keith number:

$7, 5, 4, 7, 8, 8, 7, 5, 3, 5, 9, 0, 8, 9, 7, \ldots, $