%I A059300
%S A059300 1,1,2,1,6,3,1,12,24,4,1,20,90,80,5,1,30,240,540,240,6,1,42,525,
%T A059300 2240,2835,672,7,1,56,1008,7000,17920,13608,1792,8,1,72,1764,18144,
%U A059300 78750,129024,61236,4608,9,1,90,2880,41160,272160,787500,860160
%N A059300 Triangle of idempotent numbers binomial(n,k)*k^(n-k), version 4.
%D A059300 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 91, #43 and p. 135, 
               [3i'].
%e A059300 Triangle begins 1; 0, 1; 0, 2, 1; 0, 3, 6, 1; 0, 4, 24, 12, 1; ...
%Y A059300 There are 4 versions: A059297-A059300. Diagonals give A001788, A036216, 
               A040075, A050982, A002378, 3*A002417, etc. Row sums are A000248.
%Y A059300 Sequence in context: A060556 A132813 A034898 this_sequence A046803 A121468 
               A092392
%Y A059300 Adjacent sequences: A059297 A059298 A059299 this_sequence A059301 A059302 
               A059303
%K A059300 nonn,tabl
%O A059300 0,3
%A A059300 N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2001