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 A131127 Table read by rows: 2*A007318(n,m) - (-1)^(n+m)*A097806(n,m). 3
 1, 3, 1, 2, 5, 1, 2, 6, 7, 1, 2, 8, 12, 9, 1, 2, 10, 20, 20, 11, 1, 2, 12, 30, 40, 30, 13, 1, 2, 14, 42, 70, 70, 42, 15, 1, 2, 16, 56, 112, 140, 112, 56, 17, 1, 2, 18, 72, 168, 252, 252, 168, 72, 19, 1, 2, 20, 90, 240, 420, 504, 420, 240, 90, 21, 1, 2, 22, 110, 330, 660, 924, 924, 660, 330, 110, 23, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums = A000079(n+1), n>0. Warning: row sums are not A046055! - N. J. A. Sloane, Jul 08 2009 Row sums = A151821(n+1), n>=0. - Alois P. Heinz, Jul 13 2009 LINKS Alois P. Heinz, Rows n = 0..140, flattened FORMULA 2*A007318 - A097806 (signed), A007318 = Pascal's triangle and using the signed version of the pair operator A097806 with (1,1,1,...) in the main diagonal and (-1,-1,-1,...) in the subdiagonal. EXAMPLE First few rows of the triangle are: 1; 3, 1; 2, 5, 1; 2, 6, 7, 1; 2, 8, 12, 9, 1; 2, 10, 20, 20, 11, 1; ... MAPLE T:= (n, m)-> 2*binomial(n, m) -(-1)^(n+m)*`if`(n=m or n=m+1, 1, 0): seq(seq(T(n, m), m=0..n), n=0..12); # Alois P. Heinz, Jul 13 2009 MATHEMATICA T[n_, m_] := 2*Binomial[n, m] - (-1)^(n+m)*If[n == m || n == m+1, 1, 0]; Table[Table[T[n, m], {m, 0, n}], {n, 0, 12}] // Flatten (* Jean-François Alcover, May 19 2016, translated from Maple *) CROSSREFS Cf. A097806, A007318. Sequence in context: A021036 A211025 A125704 * A113141 A134225 A136081 Adjacent sequences:  A131124 A131125 A131126 * A131128 A131129 A131130 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Jun 16 2007 EXTENSIONS Edited by N. J. A. Sloane and R. J. Mathar, Jul 09 2009 Corrected and extended by Alois P. Heinz, Jul 13 2009 STATUS approved

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