Triangle: No(x, n) = (2*n/x)*No(x, n - 1) + (-n/(n - 2))*No( x, n - 2) + Ceiling[(2*(n - 1)/((n - 2)))*Sin[(n - 1)*Pi/2]]/x; weighted by 2*x^(n + 1).

A137384

Triangle: No(x, n) = (2*n/x)*No(x, n - 1) + (-n/(n - 2))*No( x, n - 2) + Ceiling[(2*(n - 1)/((n - 2)))*Sin[(n - 1)*Pi/2]]/x; weighted by 2*x^(n + 1).

Terms

    a(0) =2a(1) =2a(2) =8a(3) =0a(4) =2a(5) =48a(6) =0a(7) =6a(8) =384a(9) =0a(10) =32a(11) =0a(12) =-10a(13) =3840a(14) =0a(15) =240a(16) =0a(17) =-110a(18) =46080a(19) =0a(20) =2304a(21) =0a(22) =-1368a(23) =0a(24) =21a(25) =645120a(26) =0a(27) =26880a(28) =0a(29) =-19488

External references