This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A083088 #33 Aug 27 2025 08:11:40 %S A083088 1,2,4,6,7,9,11,12,14,16,18,19,21,23,24,26,28,30,31,33,35,36,38,40,41, %T A083088 43,45,47,48,50,52,53,55,57,59,60,62,64,65,67,69,70,72,74,76,77,79,81, %U A083088 82,84,86,88,89,91,93,94,96,98,100,101,103,105,106,108,110,111,113,115 %N A083088 First column of table A083087. %C A083088 It appears that A188937 gives the positions of 0 in the zero-one sequence A188037; complement of A080754. - _Clark Kimberling_, Mar 19 2011 %C A083088 Is this (apart from the prefixed a(0)) the same as A080755? - _R. J. Mathar_, Jul 31 2025 %F A083088 a(n) = floor(n*x/(x-1)) + 1, n>=0, where x=1+sqrt(2). %F A083088 a(n) = floor(n/sqrt(2)) + n + 1 = 1+n+A049472(n). %t A083088 f[n_] := Floor[n/Sqrt@2 + n + 1]; Array[f, 68, 0] %o A083088 (Magma) z:=70; x:=1+Sqrt(2); [ Floor(n*x/(x-1))+1: n in [0..z] ]; // _Klaus Brockhaus_, Jan 04 2011 %Y A083088 Cf. A083087, A083044, A083047, A083050. %Y A083088 Cf. A080755. %K A083088 nonn,changed %O A083088 0,2 %A A083088 _Paul D. Hanna_, Apr 21 2003 %E A083088 This entry formerly contained an erroneous comment, which was deleted by _N. J. A. Sloane_, Jan 30 2008