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A259334 Triangle read by rows: T(n,k) = k*(n-1)!*n^(n-k-1)/(n-k)!, 1 <= k <= n. 2
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

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.

FORMULA

A000435(n) = Sum (k*T(n,k), k=0..n-1). - David desJardins, Jan 22 2017.

EXAMPLE

Triangle begins:

1,

1,1,

3,4,2,

16,24,18,6,

125,200,180,96,24,

1296,2160,2160,1440,600,120

...

PROG

(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

CROSSREFS

Diagonals include A000272, A089946, A000142.

Cf. A000435.

Sequence in context: A246322 A166074 A225475 * A210488 A244364 A218610

Adjacent sequences:  A259331 A259332 A259333 * A259335 A259336 A259337

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 25 2015

EXTENSIONS

More terms from Michel Marcus, Jun 26 2015

STATUS

approved

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Last modified February 20 19:06 EST 2018. Contains 299382 sequences. (Running on oeis4.)