

A193163


Irregular table read by rows, in which row n lists the factorions in base n, for 2 <= n.


5



1, 2, 1, 2, 1, 2, 7, 1, 2, 49, 1, 2, 25, 26, 1, 2, 1, 2, 1, 2, 41282, 1, 2, 145, 40585, 1, 2, 26, 48, 40472, 1, 2, 1, 2, 519326767, 1, 2, 12973363226, 1, 2, 1441, 1442, 1, 2, 2615428934649, 1, 2, 40465, 43153254185213, 43153254226251, 1, 2, 1, 2, 1, 2, 1, 2
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OFFSET

2,2


COMMENTS

Because 1 and 2 are factorions in any base, these mark the start of a new row.


LINKS

Karl W. Heuer, Rows n = 2..39, flattened (each row starts with 1 and 2)
Eric Weisstein's World of Mathematics, Factorion


EXAMPLE

49 is in row 5 because 49 = 1! + 4! + 4! and is "144" in base 5.
The first few rows are:
1, 2 (binary)
1, 2 (ternary)
1, 2, 7 (quartal)
1, 2, 49 (quintal)
1, 2, 25, 26 (hexal)
1, 2 (heptal)
1, 2 (octal)
1, 2, 41282 (nonal)
1, 2, 145, 40585 (decimal)
1, 2, 26, 48, 40472 (undecimal)
1, 2 (duodecimal)
1, 2, 519326767, etc.


CROSSREFS

Cf. A014080, A166623.
Sequence in context: A215745 A059913 A083273 * A106157 A181816 A113738
Adjacent sequences: A193160 A193161 A193162 * A193164 A193165 A193166


KEYWORD

nonn,base,tabf


AUTHOR

Karl W. Heuer, Aug 06 2011


STATUS

approved



