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%I #9 May 23 2015 11:59:32
%S 1,1,1,1,1,3,1,1,6,16,1,1,10,100,125,1,1,15,400,3375,1296,1,1,21,1225,
%T 42875,194481,16807,1,1,28,3136,343000,9834496,17210368,262144,1,1,36,
%U 7056,2000376,252047376,4182119424,2176782336,4782969,1,1,45,14400
%N Triangle read by rows: row n contains the numbers C(n,k)^(k-1) for 0 <= k <= n-1, n >= 1.
%H C. Lamathe, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL7/Lamathe/lamathe2.html">The Number of Labeled k-Arch Graphs</a>, Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.1.
%e Triangle begins:
%e 1
%e 1 1
%e 1 1 3
%e 1 1 6 16
%e 1 1 10 100 125
%p T:=(n,k)->binomial(n,k)^(k-1): for n from 1 to 10 do seq(T(n,k),k=0..n-1) od; # yields sequence in triangular form; _Emeric Deutsch_, Aug 01 2005
%o (PARI) tabl(nn) = {for (n=1, nn, for (k=0, n-1, print1(binomial(n,k)^(k-1), ", ");); print(););} \\ _Michel Marcus_, May 23 2015
%Y Diagonals give A000272, A098721-A098724. A102480 may be a better version.
%K nonn,tabl,easy
%O 1,6
%A _N. J. A. Sloane_, Feb 24 2005
%E More terms from _Emeric Deutsch_, Aug 01 2005
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