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

%I A193163 #32 Feb 16 2025 08:33:15
%S A193163 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 A193163 26,48,40472,1,2,1,2,519326767,1,2,12973363226,1,2,1441,1442,1,2,
%U A193163 2615428934649,1,2,40465,43153254185213,43153254226251,1,2,1,2,1,2,1,2
%N A193163 Irregular table read by rows, in which row n lists the factorions in base n, for n >= 2.
%C A193163 Because 1 and 2 are factorions in any base, these mark the start of a new row.
%H A193163 Karl W. Heuer, <a href="/A193163/b193163.txt">Rows n = 2..39, flattened</a> (each row starts with 1 and 2)
%H A193163 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Factorion.html">Factorion</a>
%e A193163 49 is in row 5 because 49 = 1! + 4! + 4! and is "144" in base 5.
%e A193163 The first few rows are:
%e A193163 1, 2 (binary)
%e A193163 1, 2 (ternary)
%e A193163 1, 2, 7 (quartal)
%e A193163 1, 2, 49 (quintal)
%e A193163 1, 2, 25, 26 (hexal)
%e A193163 1, 2 (heptal)
%e A193163 1, 2 (octal)
%e A193163 1, 2, 41282 (nonal)
%e A193163 1, 2, 145, 40585 (decimal)
%e A193163 1, 2, 26, 48, 40472 (undecimal)
%e A193163 1, 2 (duodecimal)
%e A193163 1, 2, 519326767, etc.
%Y A193163 Cf. A014080, A166623.
%K A193163 nonn,base,tabf
%O A193163 2,2
%A A193163 _Karl W. Heuer_, Aug 06 2011