|
|
A180124
|
|
Third of three "least, sum, least" self-generating sequences.
|
|
3
|
|
|
3, 5, 8, 11, 14, 16, 19, 22, 24, 27, 30, 33, 35, 38, 41, 44, 46, 49, 52, 55, 57, 60, 63, 65, 68, 71, 74, 76, 79, 82, 85, 87, 90, 93, 95, 98, 101, 104, 106, 109, 112, 115, 117, 120, 123, 126, 128, 131, 134, 136, 139, 142, 145, 147, 150, 153, 156, 158, 161, 164, 167
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = least positive integer not yet used;
b(n) = n + a(n);
c(n) = least positive integer not yet used.
|
|
EXAMPLE
|
The three sequences, labeled a,b,c, are
a=(1,4,7,9,...), b=(2,6,10,13,...), c=(3,5,8,11...).
|
|
MATHEMATICA
|
mex[list_, offset_]:=NestWhile[#+1&, offset, MemberQ[list, #]&];
z=100; a[1]=1; b[1]=1+a[1];
c[1]=mex[soFar={a[1], b[1]}, 1];
Do[soFar=Join[soFar, {c[n-1]}];
a[n]=mex[soFar, c[n-1]];
b[n]=n+a[n]; soFar=Join[soFar, {a[n], b[n]}];
c[n]=mex[soFar, a[n]], {n, 2, z}]
A180122 = Map[Floor[(1 + Sqrt[3]) #] - 1 &, Range[200]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|