T(n, k) = [x^k] ((1-x)^(2^n) + 2^(-n)*((2^n-1)*(x-1)^(2^n) + (x+1)^(2^n)))/2. Irregular triangle read by rows, for n >= 0 and 0 <= k <= 2^n.
A340263
T(n, k) = [x^k] ((1-x)^(2^n) + 2^(-n)*((2^n-1)*(x-1)^(2^n) + (x+1)^(2^n)))/2. Irregular triangle read by rows, for n >= 0 and 0 <= k <= 2^n.
Terms
- a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =1a(5) =-3a(6) =6a(7) =-3a(8) =1a(9) =1a(10) =-7a(11) =28a(12) =-49a(13) =70a(14) =-49a(15) =28a(16) =-7a(17) =1a(18) =1a(19) =-15a(20) =120a(21) =-525a(22) =1820a(23) =-4095a(24) =8008a(25) =-10725a(26) =12870a(27) =-10725a(28) =8008a(29) =-4095
External references
- oeis: A340263