%I A130850
%S A130850 1,1,1,2,3,1,6,12,7,1,24,60,50,15,1,120,360,390,180,31,1,720,2520,3360,
%T A130850 2100,602,63,1,5040,20160,31920,25200,10206,1932,127,1,40320,181440,
%U A130850 332640,317520,166824,46620,6050,255,1,362880,1814400,3780000,4233600
%N A130850 Triangle T(n,k), 0<=k<=n, read by rows given by [1,1,2,2,3,3,4,4,5,5,
               ...] DELTA [1,0,2,0,3,0,4,0,5,0,6,0,...] where DELTA is the operator 
               defined in A084938 .
%C A130850 Triangle given by A123125*A007318 (as infinite lower triangular matrices), 
               A123125 = Euler's triangle, A007318 = Pascal's triangle ; A007318*A123125 
               gives A046802 . Essentially reverse of A028246 .
%F A130850 T(n,k)=(-1)^k*A075263(n,k). T(n,k)=(n-k)!*A008278(n+1,k+1).
%e A130850 Triangle begins:
%e A130850 1;
%e A130850 1, 1;
%e A130850 2, 3, 1;
%e A130850 6, 12, 7, 1;
%e A130850 24, 60, 50, 15, 1;
%e A130850 120, 360, 390, 180, 31, 1;
%e A130850 720, 2520, 3360, 2100, 602, 63, 1;
%e A130850 5040, 20160, 31920, 25200, 10206, 1932, 127, 1;
%e A130850 40320, 181440, 332640, 317520, 166824, 46620, 6050, 255, 1;
%e A130850 362880, 1814400, 3780000, 4233600, 2739240, 1020600, 204630, 18660, 511, 
               1 ;...
%Y A130850 Cf. A000142 A001710 A005460 A005461 A005462 A005463 A005464.
%Y A130850 Sequence in context: A107416 A105613 A135894 this_sequence A075263 A130405 
               A058372
%Y A130850 Adjacent sequences: A130847 A130848 A130849 this_sequence A130851 A130852 
               A130853
%K A130850 nonn,tabl
%O A130850 0,4
%A A130850 Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 20 2007