|
|
A299640
|
|
a(0) = 0, and for n > 0, (a(n)) gives the indices n for which d(n) < d(k) for k < n, where d is the difference sequence of (cos k + sin k).
|
|
1
|
|
|
0, 1, 2, 8, 27, 360, 51813, 52523, 53233, 53943, 54653, 55363, 56073, 56783, 57493, 58203, 58913, 59623, 60333, 61043, 61753, 62463, 63173, 63883, 64593, 65303, 66013, 66723, 67433, 68143, 68853, 69563, 70273, 70983, 71693, 72403, 73113, 73823, 74533, 75243
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
Conjecture: d(n) -> -1.356...
|
|
LINKS
|
|
|
EXAMPLE
|
Records for n - 0,1,2, read from the first 6 values of d(n) approximated by
0.381, -0.088, -1.34, -0.56, 0.73, 1.35; viz.,
d(1) = cos(1) + sin(1) - cos(0) - sin(0) = 0.3817732907...
d(2) = -0.8886227004...
d(8) = -1.342023079...
d(27) = -1.342869989...
|
|
MATHEMATICA
|
z = 100000; d[n_] := N[Cos[n + 1] + Sin[n + 1] - Cos[n] - Sin[n], 10];
min = d[0]; k = 0; s = {0};
While[k < z, a = d[k]; If[a < min, min = a; AppendTo[s, k]]; k++]; s
d[s]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|