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A155453 Triangle read by rows: t(n,m)=1 - (k! - n! + (-k + n)! - k!*(n - k)!). 0

%I

%S 1,1,1,2,2,2,6,6,6,6,24,24,25,24,24,120,120,125,125,120,120,720,720,

%T 743,745,743,720,720,5040,5040,5159,5155,5155,5159,5040,5040,40320,

%U 40320,41039,40915,40849,40915,41039,40320,40320,362880,362880,367919,366475

%N Triangle read by rows: t(n,m)=1 - (k! - n! + (-k + n)! - k!*(n - k)!).

%C Row sums are:

%C {1, 2, 6, 24, 121, 730, 5111, 40788, 366037, 3651542, 40095063,...}.

%F t(n,m)=t(n,m)=1 - (k! - n! + (-k + n)! - k!*(n - k)!)..

%e {1},

%e {1, 1},

%e {2, 2, 2},

%e {6, 6, 6, 6},

%e {24, 24, 25, 24, 24},

%e {120, 120, 125, 125, 120, 120},

%e {720, 720, 743, 745, 743, 720, 720},

%e {5040, 5040, 5159, 5155, 5155, 5159, 5040, 5040},

%e {40320, 40320, 41039, 40915, 40849, 40915, 41039, 40320, 40320},

%e {362880, 362880, 367919, 366475, 365617, 365617, 366475, 367919, 362880, 362880},

%e {3628800, 3628800, 3669119, 3653995, 3645337, 3642961, 3645337, 3653995, 3669119, 3628800, 3628800}

%t Table[Table[1 - (k! - n! + (-k + n)! - k!*(n - k)!), {k, 0, n}], {n, 0, 10}];

%t Flatten[%]

%K nonn,uned,tabl

%O 0,4

%A _Roger L. Bagula_, Jan 22 2009

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Last modified September 22 13:15 EDT 2021. Contains 347607 sequences. (Running on oeis4.)