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 A211369 Array read by antidiagonals: T(m,n) = m*(m+n-1)! + Sum( n <= i <= m+n-2 ) i! 2
 1, 2, 5, 6, 14, 21, 24, 54, 80, 105, 120, 264, 390, 512, 633, 720, 1560, 2304, 3030, 3752, 4473, 5040, 10800, 15960, 21024, 26070, 31112, 36153, 40320, 85680, 126720, 167160, 207504, 247830, 288152, 328473, 362880, 766080, 1134000 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Index numbers (compare A055089) of transpositions. LINKS Tilman Piesk, Table of n, a(n) for n = 1..2016 Tilman Piesk, Arrays of permutations (Wikiversity) FORMULA T(m,1) = A001563(m) + A007489(m-1). - R. J. Mathar, May 11 2013 EXAMPLE T(3,2) = 3*4! + Sum( 2 <= i <= 3 ) i! = 3*4! + 2! + 3! = 3*24 + 2 + 6 = 80. The array starts:      1,     2,     6,    24,   120,...      5,    14,    54,   264,  1560,...     21,    80,   390,  2304, 15960,...    105,   512,  3030, 21024,167160,...    633,  3752, 26070,207504,1860600,... MAPLE A211369 := proc(m, n)     m*(m+n-1)!+add(i!, i=n..m+n-2) ; end proc: # R. J. Mathar, May 10 2013 CROSSREFS Cf. A055089, A000142 (row 1), A052649 (row 2) Sequence in context: A191229 A191120 A245540 * A006596 A000092 A100630 Adjacent sequences:  A211366 A211367 A211368 * A211370 A211371 A211372 KEYWORD nonn,tabl AUTHOR Tilman Piesk, Jul 07 2012 STATUS approved

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Last modified February 16 22:46 EST 2020. Contains 331976 sequences. (Running on oeis4.)