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A259334
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Triangle read by rows: T(n,k) = k*(n-1)!*n^(n-k-1)/(n-k)!, 1 <= k <= n.
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2
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1, 1, 1, 3, 4, 2, 16, 24, 18, 6, 125, 200, 180, 96, 24, 1296, 2160, 2160, 1440, 600, 120, 16807, 28812, 30870, 23520, 12600, 4320, 720, 262144, 458752, 516096, 430080, 268800, 120960, 35280, 5040, 4782969, 8503056, 9920232, 8817984, 6123600, 3265920, 1270080, 322560, 40320
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OFFSET
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1,4
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LINKS
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Table of n, a(n) for n=1..45.
F. A. Haight, Overflow at a traffic light, Biometrika, 46 (1959), 420-424.
F. A. Haight, Overflow at a traffic light, Biometrika, 46 (1959), 420-424. (Annotated scanned copy)
F. A. Haight, Letter to N. J. A. Sloane, n.d.
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FORMULA
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A000435(n) = Sum_{k=0..n-1} k*T(n,k). - David desJardins, Jan 22 2017
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EXAMPLE
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Triangle begins:
1;
1, 1;
3, 4, 2;
16, 24, 18, 6;
125, 200, 180, 96, 24;
1296, 2160, 2160, 1440, 600, 120;
...
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PROG
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(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
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CROSSREFS
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Diagonals include A000272, A089946, A000142.
Cf. A000435.
Sequence in context: A246322 A166074 A225475 * A210488 A244364 A218610
Adjacent sequences: A259331 A259332 A259333 * A259335 A259336 A259337
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane, Jun 25 2015
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EXTENSIONS
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More terms from Michel Marcus, Jun 26 2015
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STATUS
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approved
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