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%I A259334 #18 Jan 15 2022 21:37:53
%S A259334 1,1,1,3,4,2,16,24,18,6,125,200,180,96,24,1296,2160,2160,1440,600,120,
%T A259334 16807,28812,30870,23520,12600,4320,720,262144,458752,516096,430080,
%U A259334 268800,120960,35280,5040,4782969,8503056,9920232,8817984,6123600,3265920,1270080,322560,40320
%N A259334 Triangle read by rows: T(n,k) = k*(n-1)!*n^(n-k-1)/(n-k)!, 1 <= k <= n.
%H A259334 F. A. Haight, <a href="http://www.jstor.org/stable/2333538">Overflow at a traffic light</a>, Biometrika, 46 (1959), 420-424.
%H A259334 F. A. Haight, <a href="/A001787/a001787_3.pdf">Overflow at a traffic light</a>, Biometrika, 46 (1959), 420-424. (Annotated scanned copy)
%H A259334 F. A. Haight, <a href="/A001787/a001787_2.pdf">Letter to N. J. A. Sloane, n.d.</a>
%F A259334 A000435(n) = Sum_{k=0..n-1} k*T(n,k). - _David desJardins_, Jan 22 2017
%e A259334 Triangle begins:
%e A259334      1;
%e A259334      1,    1;
%e A259334      3,    4,    2;
%e A259334     16,   24,   18,    6;
%e A259334    125,  200,  180,   96,   24;
%e A259334   1296, 2160, 2160, 1440,  600,  120;
%e A259334   ...
%o A259334 (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 A259334 Diagonals include A000272, A089946, A000142.
%Y A259334 Cf. A000435.
%K A259334 nonn,tabl
%O A259334 1,4
%A A259334 _N. J. A. Sloane_, Jun 25 2015
%E A259334 More terms from _Michel Marcus_, Jun 26 2015

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