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 A085881 Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by A001147(n). 2
 1, 1, 1, 3, 6, 3, 15, 45, 45, 15, 105, 420, 630, 420, 105, 945, 4725, 9450, 9450, 4725, 945, 10395, 62370, 155925, 207900, 155925, 62370, 10395, 135135, 945945, 2837835, 4729725, 4729725, 2837835, 945945, 135135, 2027025 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA Triangle given by [1, 2, 3, 4, 5, 6, ...] DELTA [1, 2, 3, 4, 5, 6, ...] where DELTA is Deléham's operator defined in A084938. T(n,k) = A164961(n,k)/2^n. - Philippe Deléham, Jan 07 2012 Recurrence equation: T(n+1,k) = (2*n+1)*(T(n,k) + T(n,k-1)). - Peter Bala, Jul 15 2012 E.g.f.: 1/sqrt(1-2*x-2*x*y). - Peter Bala, Jul 15 2012 G.f.: W(0), where W(k) = 1 - (k+1)*x*(1+y)/( (k+1)*x*(1+y) - 1/W(k+1) ); (continued fraction). - Sergei N. Gladkovskii, Nov 03 2013 EXAMPLE Triangle starts 1, 1, 1, 3, 6, 3, 15, 45, 45, 15, 105, 420, 630, 420, 105, 945, 4725, 9450, 9450, 4725, 945, ... CROSSREFS Cf. A084938, A164961 Sequence in context: A109044 A205844 A205865 * A265480 A127574 A169842 Adjacent sequences:  A085878 A085879 A085880 * A085882 A085883 A085884 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Aug 17 2003 STATUS approved

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Last modified December 10 17:19 EST 2016. Contains 279005 sequences.