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A105197 Triangle, read by rows, of Stirling numbers of second kind, S2(n,k), multiplied by k^k, for n >= 1, 1<=k<=n. 1

%I #4 Oct 24 2012 00:49:13

%S 1,1,4,1,12,27,1,28,162,256,1,60,675,2560,3125,1,124,2430,16640,46875,

%T 46656,1,252,8127,89600,437500,979776,823543,1,508,26082,435456,

%U 3281250,12410496,23059204,16777216,1,1020,81675,1989120,21721875,123451776

%N Triangle, read by rows, of Stirling numbers of second kind, S2(n,k), multiplied by k^k, for n >= 1, 1<=k<=n.

%F a(i, j) = stirling2(i, j)*j^j, read by rows.

%e Table begins

%e 1;

%e 1 4;

%e 1 12 27;

%e 1, 28, 162, 256,

%e etc.

%p (i,j) -> stirling2(i,j)*j^j

%t Flatten[Table[Table[k^k StirlingS2[n, k], {k, 1, n}], {n, 1, 9}], 1]

%Y Cf. A008277.

%Y Cf. A105196 (similar triangle for S1).

%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

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Last modified July 21 18:17 EDT 2024. Contains 374475 sequences. (Running on oeis4.)