Triangle T(n, k) read by rows: Row n gives the coefficients of the even powers in Product_{t=1..n}(2*x - (2*t - 1))*Product_{t=1..n}(2*x + (2*t - 1)).
A380570
Triangle T(n, k) read by rows: Row n gives the coefficients of the even powers in Product_{t=1..n}(2*x - (2*t - 1))*Product_{t=1..n}(2*x + (2*t - 1)).
Terms
- a(0) =1a(1) =4a(2) =-1a(3) =16a(4) =-40a(5) =9a(6) =64a(7) =-560a(8) =1036a(9) =-225a(10) =256a(11) =-5376a(12) =31584a(13) =-51664a(14) =11025a(15) =1024a(16) =-42240a(17) =561792a(18) =-2764960a(19) =4228884a(20) =-893025a(21) =4096a(22) =-292864a(23) =7358208a(24) =-79036672a(25) =351475696a(26) =-515267064a(27) =108056025a(28) =16384a(29) =-1863680
External references
- oeis: A380570