A007759 - cp's OEIS frontend

A007759 Knopfmacher expansion of sqrt(2): a(2n) = 2(a(2n-1) + 1)^2 - 1, a(2n+1) = 2(a(2n)^2 - 1).

n	a(n)
1	2
2	17
3	576
4	665857
5	886731088896
6	1572584048032918633353217
7	4946041176255201878775086487573351061418968498176
8	48926646634423881954586808839856694558492182258668537145547700898547222910968507268117381704646657

[2, 17, 576, 665857, 886731088896, 1572584048032918633353217, 4946041176255201878775086487573351061418968498176, 48926646634423881954586808839856694558492182258668537145547700898547222910968507268117381704646657]

cp's OEIS Frontend

A007759 Knopfmacher expansion of sqrt(2): a(2n) = 2(a(2n-1) + 1)^2 - 1, a(2n+1) = 2(a(2n)^2 - 1).

Table of values

List of values

cp's OEIS Frontend

A007759 Knopfmacher expansion of sqrt(2): a(2n) = 2*(a(2n-1) + 1)^2 - 1, a(2n+1) = 2*(a(2n)^2 - 1).

Table of values

List of values

A007759 Knopfmacher expansion of sqrt(2): a(2n) = 2(a(2n-1) + 1)^2 - 1, a(2n+1) = 2(a(2n)^2 - 1).