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 A141903 A linear combination of A008292 and A130595: t(n,m)=2*A008292(n,m)- A130595(n,m). 0
 1, 1, 3, 1, 10, 1, 1, 25, 19, 3, 1, 56, 126, 56, 1, 1, 119, 594, 614, 109, 3, 1, 246, 2367, 4852, 2367, 246, 1, 1, 501, 8565, 31273, 31203, 8607, 487, 3, 1, 1012, 29188, 176524, 312310, 176524, 29188, 1012, 1, 1, 2035, 95644, 910468, 2620582, 2620834, 910300 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Row sums are: {1, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600}. LINKS FORMULA t(n,m)=2*A008292(n,m)- A130595(n,m). EXAMPLE {1}, {1, 3}, {1, 10, 1}, {1, 25, 19, 3}, {1, 56, 126, 56, 1}, {1, 119, 594, 614, 109, 3}, {1, 246, 2367, 4852, 2367, 246, 1}, {1, 501, 8565, 31273, 31203, 8607, 487, 3}, {1, 1012, 29188, 176524, 312310, 176524, 29188, 1012, 1}, {1, 2035, 95644, 910468, 2620582, 2620834, 910300, 95716, 2017, 3} MATHEMATICA A[n_, 1] := 1 A[n_, n_] := 1 A[n_, k_] := (n - k + 1)A[n - 1, k - 1] + k A[n - 1, k]; Table[Table[2*A[n, k] - (-1)^(k + 1)*Binomial[n - 1, k - 1], {k, 1, n}], {n, 1, 10}]; Flatten[%] CROSSREFS Cf. A008292 and A130595. Sequence in context: A090479 A227758 A304638 * A010289 A226646 A127613 Adjacent sequences:  A141900 A141901 A141902 * A141904 A141905 A141906 KEYWORD nonn,uned AUTHOR Roger L. Bagula and Gary W. Adamson, Sep 14 2008 STATUS approved

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Last modified December 3 12:20 EST 2020. Contains 338902 sequences. (Running on oeis4.)