A symmetrical triangle sequence based on:q=1/12;t(n,m,q)=12*(Binomial[n, m]*(1 - q) + (((n + m + 1)!/((n + 1)!* m!)) + ((2*n - m + 1)!/((n + 1)!*(n - m)!)))*q).

A174948

A symmetrical triangle sequence based on:q=1/12;t(n,m,q)=12*(Binomial[n, m]*(1 - q) + (((n + m + 1)!/((n + 1)!* m!)) + ((2*n - m + 1)!/((n + 1)!*(n - m)!)))*q).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =9a(5) =1a(6) =1a(7) =7a(8) =7a(9) =1a(10) =1a(11) =-31a(12) =-29a(13) =-31a(14) =1a(15) =1a(16) =-201a(17) =-251a(18) =-251a(19) =-201a(20) =1a(21) =1a(22) =-861a(23) =-1196a(24) =-1267a(25) =-1196a(26) =-861a(27) =1a(28) =1a(29) =-3357

External references