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).
A174945
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) =-21a(5) =1a(6) =1a(7) =-1173a(8) =-1173a(9) =1a(10) =1a(11) =-70521a(12) =-72353a(13) =-70521a(14) =1a(15) =1a(16) =-6531789a(17) =-6649565a(18) =-6649565a(19) =-6531789a(20) =1a(21) =1a(22) =-878169537a(23) =-889384022a(24) =-889565551a(25) =-889384022a(26) =-878169537a(27) =1a(28) =1a(29) =-161902540725
External references
- oeis: A174945