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 A130671 Triangular sequence based on Pascal's triangle: t(n,m) = 2*binomial(m, n) - (1 + n*(m - n)). 0
 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 13, 13, 5, 1, 1, 6, 21, 30, 21, 6, 1, 1, 7, 31, 57, 57, 31, 7, 1, 1, 8, 43, 96, 123, 96, 43, 8, 1, 1, 9, 57, 149, 231, 231, 149, 57, 9, 1, 1, 10, 73, 218, 395, 478, 395, 218, 73, 10, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Suggested by Gary W. Adamson from a previous submission. Very close to (but slightly smaller at 7th row) A086617. LINKS FORMULA t(n,m) = 2*binomial[m, n] - (1 + n*(m - n)). EXAMPLE {1}, {1, 1}, {1, 2, 1}, {1, 3, 3, 1}, {1, 4, 7, 4, 1}, {1, 5, 13, 13, 5, 1}, {1, 6, 21, 30, 21, 6, 1}, {1, 7, 31, 57, 57, 31, 7, 1} MATHEMATICA Table[Table[2*Binomial[m, n] - (1 + n*(m - n)), {n, 0, m}], {m, 0, 10}] Flatten[%] CROSSREFS Cf. A086617. Sequence in context: A173075 A166293 A094525 * A114197 A108350 A086617 Adjacent sequences: A130668 A130669 A130670 * A130672 A130673 A130674 KEYWORD nonn,tabl AUTHOR Roger L. Bagula and Gary W. Adamson, Jun 27 2007 STATUS approved

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Last modified December 7 07:00 EST 2022. Contains 358649 sequences. (Running on oeis4.)