%I A059298
%S A059298 1,2,1,3,6,1,4,24,12,1,5,80,90,20,1,6,240,540,240,30,1,7,672,2835,
%T A059298 2240,525,42,1,8,1792,13608,17920,7000,1008,56,1,9,4608,61236,129024,
%U A059298 78750,18144,1764,72,1,10,11520,262440,860160,787500,272160,41160
%N A059298 Triangle of idempotent numbers binomial(n,k)*k^(n-k), version 2.
%C A059298 The inverse triangle is the signed version 1,-2,1,9,-6,1,.. of triangle 
               A061356. [From Peter Luschny (peter(AT)luschny.de), Mar 13 2009]
%D A059298 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 91, #43 and p. 135, 
               [3i'].
%e A059298 Triangle begins 1; 0, 1; 0, 2, 1; 0, 3, 6, 1; 0, 4, 24, 12, 1; ...
%Y A059298 There are 4 versions: A059297-A059300. Diagonals give A001788, A036216, 
               A040075, A050982, A002378, 3*A002417, etc. Row sums are A000248.
%Y A059298 Sequence in context: A115597 A103371 A120257 this_sequence A156914 A059434 
               A141476
%Y A059298 Adjacent sequences: A059295 A059296 A059297 this_sequence A059299 A059300 
               A059301
%K A059298 nonn,tabl
%O A059298 0,2
%A A059298 N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2001