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A076482 Triangle with T(n,k)=n!*(k-1)^k/k! where 1<=k<=n. 1
0, 0, 1, 0, 3, 8, 0, 12, 32, 81, 0, 60, 160, 405, 1024, 0, 360, 960, 2430, 6144, 15625, 0, 2520, 6720, 17010, 43008, 109375, 279936, 0, 20160, 53760, 136080, 344064, 875000, 2239488, 5764801, 0, 181440, 483840, 1224720, 3096576, 7875000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..42.

FORMULA

T(n, k) =n*T(n, k-1) =A007778(k-1)*A008279(n, n-k) starting with T(n, n)=(n-1)^n=A007778(n-1).

EXAMPLE

Rows start 0; 0,1; 0,3,8; 0,12,32,81; 0,60,160,405,1024; 0,360,960,2430,6144,15625; etc.

MATHEMATICA

Table[n! (k-1)^k/k!, {n, 0, 10}, {k, n}]//Flatten (* Harvey P. Dale, Nov 28 2019 *)

CROSSREFS

Row sums are A076483.

Sequence in context: A112255 A197417 A085995 * A225802 A156827 A330963

Adjacent sequences:  A076479 A076480 A076481 * A076483 A076484 A076485

KEYWORD

nonn,tabl

AUTHOR

Henry Bottomley, Oct 14 2002

STATUS

approved

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Last modified September 28 11:24 EDT 2022. Contains 357070 sequences. (Running on oeis4.)