%I #18 Jan 15 2022 21:37:53

%S 1,1,1,3,4,2,16,24,18,6,125,200,180,96,24,1296,2160,2160,1440,600,120,

%T 16807,28812,30870,23520,12600,4320,720,262144,458752,516096,430080,

%U 268800,120960,35280,5040,4782969,8503056,9920232,8817984,6123600,3265920,1270080,322560,40320

%N Triangle read by rows: T(n,k) = k*(n-1)!*n^(n-k-1)/(n-k)!, 1 <= k <= n.

%H F. A. Haight, <a href="http://www.jstor.org/stable/2333538">Overflow at a traffic light</a>, Biometrika, 46 (1959), 420-424.

%H F. A. Haight, <a href="/A001787/a001787_3.pdf">Overflow at a traffic light</a>, Biometrika, 46 (1959), 420-424. (Annotated scanned copy)

%H F. A. Haight, <a href="/A001787/a001787_2.pdf">Letter to N. J. A. Sloane, n.d.</a>

%F A000435(n) = Sum_{k=0..n-1} k*T(n,k). - _David desJardins_, Jan 22 2017

%e Triangle begins:

%e 1;

%e 1, 1;

%e 3, 4, 2;

%e 16, 24, 18, 6;

%e 125, 200, 180, 96, 24;

%e 1296, 2160, 2160, 1440, 600, 120;

%e ...

%o (PARI) tabl(nn) = {for (n=1, nn, for (k=1, n, print1(k*(n-1)!*n^(n-k-1)/(n-k)!, ", ");); print(););} \\ _Michel Marcus_, Jun 26 2015

%Y Diagonals include A000272, A089946, A000142.

%Y Cf. A000435.

%K nonn,tabl

%O 1,4

%A _N. J. A. Sloane_, Jun 25 2015

%E More terms from _Michel Marcus_, Jun 26 2015