A082845 Partial sums of A082844.

2, 5, 7, 10, 12, 14, 17, 19, 22, 24, 26, 29, 31, 34, 36, 39, 41, 43, 46, 48, 51, 53, 55, 58, 60, 63, 65, 68, 70, 72, 75, 77, 80, 82, 84, 87, 89, 92, 94, 96, 99, 101, 104, 106, 109, 111, 113, 116, 118, 121, 123, 125, 128, 130, 133, 135, 138, 140, 142, 145, 147, 150, 152

Offset: 1

Author

Benoit Cloitre, Apr 14 2003

Keywords

• nonn

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000
• Robbert Fokkink, The Pell Tower and Ostronometry, arXiv:2309.01644 [math.CO], 2023.

Crossrefs

Not the same as A003153.

Programs

Mathematica

With[{s = Sqrt[2]}, Array[1 + Floor[# (1 + s) - (2 - s)] &, 120]] (* Michael De Vlieger, Sep 09 2023 *)

Formula

a(n) = 1+floor((1+sqrt(2))*n-(2-sqrt(2))).