a(n) = (4*n + 1)^(1/2)/(4*n + 1)*((1 - p)*q^n - (1 - q)*p^n), where p = (1 - (4*n + 1)^(1/2))/2 and q = (1 + (4*n + 1)^(1/2))/2.
A171180
a(n) = (4*n + 1)^(1/2)/(4*n + 1)*((1 - p)*q^n - (1 - q)*p^n), where p = (1 - (4*n + 1)^(1/2))/2 and q = (1 + (4*n + 1)^(1/2))/2.
Terms
- a(0) =1a(1) =3a(2) =7a(3) =29a(4) =96a(5) =463a(6) =1905a(7) =10233a(8) =49159a(9) =287891a(10) =1557744a(11) =9814741a(12) =58451849a(13) =392539575a(14) =2532516511a(15) =17999936497a(16) =124360077816a(17) =930257069563
External references
- oeis: A171180