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 A156529 A triangular sequence: e(n,k)=(k + 1)e(n - 1, k) + (2n - k - 1)e(n - 1, k - 1); t(n,m)=(e(n, k)*e(n, n - k - 1)). 0
 1, 2, 2, 6, 64, 6, 24, 1276, 1276, 24, 120, 23088, 107584, 23088, 120, 720, 422712, 6388800, 6388800, 422712, 720, 5040, 8156160, 326165400, 1031694400, 326165400, 8156160, 5040, 40320, 168521184, 15666814800, 126099116000, 126099116000 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are: {1, 4, 76, 2600, 154000, 13624464, 1700347600, 283868984608, 61166882025040, 16525206308179712,...} LINKS FORMULA e(n,k)=(k + 1)e(n - 1, k) + (2n - k - 1)e(n - 1, k - 1); t(n,m)=(e(n, k)*e(n, n - k - 1)).. EXAMPLE {1}, {2, 2}, {6, 64, 6}, {24, 1276, 1276, 24}, {120, 23088, 107584, 23088, 120}, {720, 422712, 6388800, 6388800, 422712, 720}, {5040, 8156160, 326165400, 1031694400, 326165400, 8156160, 5040}, {40320, 168521184, 15666814800, 126099116000, 126099116000, 15666814800, 168521184, 40320}, {362880, 3748855680, 741628668960, 13217568000000, 33240990250000, 13217568000000, 741628668960, 3748855680, 362880}, {3628800, 89830895040, 35494281317376, 1272445743488640, 6954573294760000, 6954573294760000, 1272445743488640, 35494281317376, 89830895040, 3628800} MATHEMATICA e[n_, 0] := 1; e[n_, k_] := 0 /; k >= n; e[n_, k_] := (k + 1)e[n - 1, k] + (2n - k - 1)e[n - 1, k - 1]; Table[Table[(e[n, k]*e[n, n - k - 1]), {k, 0, n - 1}], {n, 1, 10}]; Flatten[%] CROSSREFS Sequence in context: A247943 A329571 A270358 * A184712 A303225 A326943 Adjacent sequences:  A156526 A156527 A156528 * A156530 A156531 A156532 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Feb 09 2009 STATUS approved

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Last modified January 26 08:18 EST 2020. Contains 331278 sequences. (Running on oeis4.)