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

1,1

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.

Formula

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

Mathematica

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

Crossrefs

Not the same as A003153.

Sequence in context: A212446 A195437 A081032 * A003153 A187475 A274285

Adjacent sequences: A082842 A082843 A082844 * A082846 A082847 A082848

Keyword

nonn

Author

Benoit Cloitre, Apr 14 2003

Status

approved