A193163 - OEIS

%I #31 Apr 12 2018 05:03:59

%S 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,

%T 26,48,40472,1,2,1,2,519326767,1,2,12973363226,1,2,1441,1442,1,2,

%U 2615428934649,1,2,40465,43153254185213,43153254226251,1,2,1,2,1,2,1,2

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

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

%H Karl W. Heuer, <a href="/A193163/b193163.txt">Rows n = 2..39, flattened</a> (each row starts with 1 and 2)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Factorion.html">Factorion</a>

%e 49 is in row 5 because 49 = 1! + 4! + 4! and is "144" in base 5.

%e The first few rows are:

%e 1, 2 (binary)

%e 1, 2 (ternary)

%e 1, 2, 7 (quartal)

%e 1, 2, 49 (quintal)

%e 1, 2, 25, 26 (hexal)

%e 1, 2 (heptal)

%e 1, 2 (octal)

%e 1, 2, 41282 (nonal)

%e 1, 2, 145, 40585 (decimal)

%e 1, 2, 26, 48, 40472 (undecimal)

%e 1, 2 (duodecimal)

%e 1, 2, 519326767, etc.

%Y Cf. A014080, A166623.

%K nonn,base,tabf

%O 2,2

%A _Karl W. Heuer_, Aug 06 2011