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Triangle, read by rows, of Stirling numbers of first kind, S1(n,k), multiplied by k^k, for n >= 1, 1<=k<=n.
1

%I #6 Oct 24 2012 00:49:05

%S 1,1,4,2,12,27,6,44,162,256,24,200,945,2560,3125,120,1096,6075,21760,

%T 46875,46656,720,7056,43848,188160,546875,979776,823543,5040,52272,

%U 354564,1732864,6125000,15023232,23059204,16777216,40320,438336,3189348

%N Triangle, read by rows, of Stirling numbers of first kind, S1(n,k), multiplied by k^k, for n >= 1, 1<=k<=n.

%F a(i, j) := S1(i, j)*j^j

%e Table begins

%e 1;

%e 1 4;

%e 2 12 27;

%e 6, 44, 162, 256;

%e etc.

%p (i,j) -> abs(stirling1(i,j)*j^j)

%t Flatten[Table[Table[k^k Abs[StirlingS1[n, k]], {k, 1, n}], {n, 1, 9}], 1]

%Y Cf. A008275.

%Y Cf. A105197 (similar triangle for S2).

%K nonn,tabl,easy

%O 1,3

%A Jeffrey Hall (hallj5(AT)southernct.edu), Apr 11 2005

%E Typo in definition and Mathematica program by _Olivier GĂ©rard_, Oct 24 2012