A symmetrical triangle sequence based on:q=2/12;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).

A174949

A symmetrical triangle sequence based on:q=2/12;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) =5a(5) =1a(6) =1a(7) =-11a(8) =-11a(9) =1a(10) =1a(11) =-99a(12) =-119a(13) =-99a(14) =1a(15) =1a(16) =-451a(17) =-611a(18) =-611a(19) =-451a(20) =1a(21) =1a(22) =-1783a(23) =-2561a(24) =-2763a(25) =-2561a(26) =-1783a(27) =1a(28) =1a(29) =-6787

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