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A083088
First column of table A083087.
5
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, 43, 45, 47, 48, 50, 52, 53, 55, 57, 59, 60, 62, 64, 65, 67, 69, 70, 72, 74, 76, 77, 79, 81, 82, 84, 86, 88, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 106, 108, 110, 111, 113, 115
OFFSET
0,2
COMMENTS
It appears that A188937 gives the positions of 0 in the zero-one sequence A188037; complement of A080754. - Clark Kimberling, Mar 19 2011
Is this (apart from the prefixed a(0)) the same as A080755? - R. J. Mathar, Jul 31 2025
FORMULA
a(n) = floor(n*x/(x-1)) + 1, n>=0, where x=1+sqrt(2).
a(n) = floor(n/sqrt(2)) + n + 1 = 1+n+A049472(n).
MATHEMATICA
f[n_] := Floor[n/Sqrt@2 + n + 1]; Array[f, 68, 0]
PROG
(Magma) z:=70; x:=1+Sqrt(2); [ Floor(n*x/(x-1))+1: n in [0..z] ]; // Klaus Brockhaus, Jan 04 2011
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Apr 21 2003
EXTENSIONS
This entry formerly contained an erroneous comment, which was deleted by N. J. A. Sloane, Jan 30 2008
STATUS
approved