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).
A174946
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) =-55a(5) =1a(6) =1a(7) =-2371a(8) =-2371a(9) =1a(10) =1a(11) =-141079a(12) =-144767a(13) =-141079a(14) =1a(15) =1a(16) =-13063627a(17) =-13299239a(18) =-13299239a(19) =-13063627a(20) =1a(21) =1a(22) =-1756339135a(23) =-1778768213a(24) =-1779131331a(25) =-1778768213a(26) =-1756339135a(27) =1a(28) =1a(29) =-323805081523
External references
- oeis: A174946