A080286
Numbers m such that (Pi+e)^m is closer to its nearest integer than any value of (Pi+e)^k for 1 <= k < m.
Original entry on oeis.org
1, 4, 14, 25, 83, 90, 92, 547, 966, 1027, 1472, 5055, 5283
Offset: 1
Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
A267122
Numbers n such that 1.5^n is closer to an integer than 1.5^m for any 0 < m < n.
Original entry on oeis.org
1, 2, 4, 29, 46, 58, 95, 153, 157, 163, 455, 1060, 1256, 2677, 3328, 12429, 49304, 112896, 129638, 164000
Offset: 1
1.5^29 = 127834.039... which is within 0.039... of an integer, yielding a(4) = 29.
1.5^46 = 125949925.968... which is within 0.031... of an integer, yielding a(5) = 46.
-
f(x)=x=frac(x); if(x>1/2,1-x,x)
t=r=1;for(n=1,1e6, tt=f(t*=3/2); if(tt
A387495
Exponents k such that exp(k)/Pi is closer to an integer than for any smaller k.
Original entry on oeis.org
0, 1, 7, 22, 30, 50, 79, 103, 262, 993, 20819, 39397
Offset: 1
a(1) = 0: exp(0)/Pi = 0.3183... = distance to nearest integer 0;
a(2) = 1: exp(1)/Pi = 0.8652559..., distance to nearest integer 1 = 0.134744...;
a(3) = 7: exp(7)/Pi = 349.0691758..., distance to nearest integer 349 = 0.0691758...;
a(4) = 22: exp(22)/Pi = 1141113200.0309559..., distance to nearest integer = 0.0309...
Comments