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A109232
a(n) = floor(n*(e^2+1)/(e-1)^2).
3
2, 5, 8, 11, 14, 17, 19, 22, 25, 28, 31, 34, 36, 39, 42, 45, 48, 51, 53, 56, 59, 62, 65, 68, 71, 73, 76, 79, 82, 85, 88, 90, 93, 96, 99, 102, 105, 107, 110, 113, 116, 119, 122, 125, 127, 130, 133, 136, 139, 142, 144, 147, 150, 153, 156, 159, 161
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OFFSET
1,1
COMMENTS
Beatty sequence for (e^2+1)/(e-1)^2 = 2.84134...; complement of
A109231
.
The constant is 2.841347188415584637890827045432999205763311253301102304707920819444...
Similar to but different from
A140099
. -
N. J. A. Sloane
, Sep 01 2016
LINKS
Table of n, a(n) for n=1..57.
Eric Weisstein's World of Mathematics,
Beatty Sequence
Index entries for sequences related to Beatty sequences
MATHEMATICA
Table[Floor[(n(E^2+1))/(E-1)^2], {n, 60}] (*
Harvey P. Dale
, Dec 21 2022 *)
CROSSREFS
Cf.
A109231
,
A109233
,
A140099
.
Sequence in context:
A045930
A140099
A276385
*
A064718
A190336
A276889
Adjacent sequences:
A109229
A109230
A109231
*
A109233
A109234
A109235
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller
, Jun 23 2005
STATUS
approved