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A369273
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Nonnegative numbers k satisfying sin(k) < sin(k+1) < sin(k+2).
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3
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0, 5, 6, 11, 12, 17, 18, 24, 25, 30, 31, 36, 37, 42, 43, 44, 49, 50, 55, 56, 61, 62, 68, 69, 74, 75, 80, 81, 86, 87, 88, 93, 94, 99, 100, 105, 106, 112, 113, 118, 119, 124, 125, 130, 131, 132, 137, 138, 143, 144, 149, 150, 156, 157, 162, 163, 168, 169, 174, 175, 181, 182, 187, 188, 193, 194
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listen;
history;
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OFFSET
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1,2
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COMMENTS
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Subsequence of terms in A026309: The smaller of two consecutive terms there.
The terms A246389(.)-2 almost match the terms here; the exceptions are terms 178, 220, 266, 310, 555, 599, ... in A246389 where the associates 176, 218, 264, 308, ... are not in this sequence. - Hugo Pfoertner, Jan 18 2024
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LINKS
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MAPLE
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isA369273 := proc(k)
local s ;
s := [seq(evalf(sin(k+i)), i=0..2)] ;
if s[1] < s[2] and s[2] < s[3] then
true;
else
false;
end if;
end proc:
option remember ;
if n = 1 then
0;
else
for a from procname(n-1)+1 do
if isA369273(a) then
return a;
end if;
end do:
end if;
end proc:
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MATHEMATICA
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Select[Range[0, 194], Sin[#]<Sin[#+1]<Sin[#+2]&] (* James C. McMahon, Jan 22 2024 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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