A193163 Irregular table read by rows, in which row n lists the factorions in base n, for n >= 2.

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

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: A329602 A083273 A353398 * A106157 A181816 A113738

Adjacent sequences: A193160 A193161 A193162 * A193164 A193165 A193166

Keyword

nonn,base,tabf

Author

Karl W. Heuer, Aug 06 2011

Status

approved