A125894 a(n) = floor(((1+sqrt(2))/2)^n).

1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 20, 24, 29, 35, 43, 52, 62, 75, 91, 110, 133, 161, 194, 234, 283, 342, 412, 498, 601, 726, 876, 1058, 1277, 1541, 1861, 2246, 2712, 3273, 3951, 4770, 5758, 6951, 8390, 10128, 12226, 14758, 17814, 21504, 25957

Offset

1,4

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

Table[Floor[((1 + Sqrt[2])/2)^n], {n, 1, 100}]

Prog

(PARI) vector(100, n, floor(((1+sqrt(2))/2)^n)) \\ G. C. Greubel, Oct 02 2018
(Magma) [Floor(((1+Sqrt(2))/2)^n): n in [1..100]]; // G. C. Greubel, Oct 02 2018

Crossrefs

Cf. A125890-A125899.

Cf. A174968 ((1+sqrt(2))/2).

Sequence in context: A067661 A210024 A052839 * A091493 A305148 A058724

Adjacent sequences: A125891 A125892 A125893 * A125895 A125896 A125897

Keyword

nonn

Author

Artur Jasinski, Dec 13 2006

Status

approved