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Partial sums of A082844.
2

%I #15 Sep 10 2023 02:11:42

%S 2,5,7,10,12,14,17,19,22,24,26,29,31,34,36,39,41,43,46,48,51,53,55,58,

%T 60,63,65,68,70,72,75,77,80,82,84,87,89,92,94,96,99,101,104,106,109,

%U 111,113,116,118,121,123,125,128,130,133,135,138,140,142,145,147,150,152

%N Partial sums of A082844.

%H Michael De Vlieger, <a href="/A082845/b082845.txt">Table of n, a(n) for n = 1..10000</a>

%H Robbert Fokkink, <a href="https://arxiv.org/abs/2309.01644">The Pell Tower and Ostronometry</a>, arXiv:2309.01644 [math.CO], 2023.

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

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

%Y Not the same as A003153.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Apr 14 2003