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%I #6 Dec 09 2014 10:54:33
%S 1,1,3,2,4,4,4,2,6,3,9,6,9,3,18,3,21,9,6,6,15,6,6,9,21,3,18,3,9,6,9,3,
%T -34,4,16,8,16,4,52,4,36,12,12,8,48,8,12,12,36,4,52,4,16,8,16,4,108,4,
%U 16,8,16,4,152,4,56,16,8,12,24,8,32,16,32,8,28,4,36,12,12,8,84,4,36,12,12,8,28,4,56,16,8,12,144,12,8,16,56,4,28,8,12
%N First differences of permutational numbers : a(n)=A134640(n+1)-A134640(n).
%C Negative numbers occur at n=!k = A007489(k) and {k=3,4,5,...}
%t a = {}; b = {}; Do[AppendTo[b, n]; w = Permutations[b]; Do[j = FromDigits[w[[m]], n + 1]; AppendTo[a, j], {m, 1, Length[w]}], {n, 0, 5}]; d = {}; Do[AppendTo[d, a[[n + 1]] - a[[n]]], {n, 1, Length[a] - 1}] ; d (*Artur Jasinski*)
%t Differences[Flatten[Table[FromDigits[#,n]&/@Permutations[Range[0,n-1]], {n,5}]]] (* _Harvey P. Dale_, Dec 09 2014 *)
%Y Cf. A007489, A134640, A134703, A134748, A134750.
%K sign
%O 1,3
%A _Artur Jasinski_, Nov 08 2007
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