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 A156534 A triangular recursion sequence: A(n,k,m)= (m* n - m*k + 1)*A(n - 1, k - 1, m) + (m*k - (m - 1))*A(n - 1, k, m); t(n,k)=2*A(n, k, 1)*A(n + 1, k + 1, 0)/(n - k + 1) - A(n, k, 0)*A(n, k, 1). 0
 1, 1, 1, 1, 4, 1, 1, 11, 11, 1, 1, 26, 44, 26, 1, 1, 57, 0, 0, 57, 1, 1, 120, -1191, -6040, -1191, 120, 1, 1, 247, -10017, -109333, -109333, -10017, 247, 1, 1, 502, -58432, -1235276, -3061324, -1235276, -58432, 502, 1, 1, 1013, -287040, -10924608 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Row sums are: {1, 2, 6, 24, 98, 116, -8180, -238204, -5647734, -132491004,...}. LINKS FORMULA A(n,k,m)= (m* n - m*k + 1)*A(n - 1, k - 1, m) + (m*k - (m - 1))*A(n - 1, k, m); t(n,k)=2*A(n, k, 1)*A(n + 1, k + 1, 0)/(n - k + 1) - A(n, k, 0)*A(n, k, 1). EXAMPLE {1}, {1, 1}, {1, 4, 1}, {1, 11, 11, 1}, {1, 26, 44, 26, 1}, {1, 57, 0, 0, 57, 1}, {1, 120, -1191, -6040, -1191, 120, 1}, {1, 247, -10017, -109333, -109333, -10017, 247, 1}, {1, 502, -58432, -1235276, -3061324, -1235276, -58432, 502, 1}, {1, 1013, -287040, -10924608, -55034868, -55034868, -10924608, -287040, 1013, 1} MATHEMATICA Clear[A, n, k, m, e]; A[n_, 1, m_] := 1; A[n_, n_, m_] := 1; A[n_, k_, m_] := (m* n - m*k + 1)*A[n - 1, k - 1, m] + (m*k - (m - 1))*A[n - 1, k, m]; Table[Table[2*A[n, k, 1]*A[n + 1, k + 1, 0]/(n - k + 1) - A[n, k, 0]*A[n, k, 1], {k, 1, n}], {n, 10}]; Flatten[%] CROSSREFS Sequence in context: A154986 A154983 A324916 * A168287 A221987 A285357 Adjacent sequences:  A156531 A156532 A156533 * A156535 A156536 A156537 KEYWORD sign,tabl,uned AUTHOR Roger L. Bagula, Feb 09 2009 STATUS approved

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Last modified September 18 06:26 EDT 2020. Contains 337166 sequences. (Running on oeis4.)