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 A155453 Triangle read by rows: t(n,m)=1 - (k! - n! + (-k + n)! - k!*(n - k)!). 0
 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 24, 24, 25, 24, 24, 120, 120, 125, 125, 120, 120, 720, 720, 743, 745, 743, 720, 720, 5040, 5040, 5159, 5155, 5155, 5159, 5040, 5040, 40320, 40320, 41039, 40915, 40849, 40915, 41039, 40320, 40320, 362880, 362880, 367919, 366475 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums are: {1, 2, 6, 24, 121, 730, 5111, 40788, 366037, 3651542, 40095063,...}. LINKS FORMULA t(n,m)=t(n,m)=1 - (k! - n! + (-k + n)! - k!*(n - k)!).. EXAMPLE {1}, {1, 1}, {2, 2, 2}, {6, 6, 6, 6}, {24, 24, 25, 24, 24}, {120, 120, 125, 125, 120, 120}, {720, 720, 743, 745, 743, 720, 720}, {5040, 5040, 5159, 5155, 5155, 5159, 5040, 5040}, {40320, 40320, 41039, 40915, 40849, 40915, 41039, 40320, 40320}, {362880, 362880, 367919, 366475, 365617, 365617, 366475, 367919, 362880, 362880}, {3628800, 3628800, 3669119, 3653995, 3645337, 3642961, 3645337, 3653995, 3669119, 3628800, 3628800} MATHEMATICA Table[Table[1 - (k! - n! + (-k + n)! - k!*(n - k)!), {k, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A171698 A080969 A214078 * A032558 A211512 A139552 Adjacent sequences:  A155450 A155451 A155452 * A155454 A155455 A155456 KEYWORD nonn,uned,tabl AUTHOR Roger L. Bagula, Jan 22 2009 STATUS approved

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Last modified August 18 13:58 EDT 2019. Contains 326100 sequences. (Running on oeis4.)