A345328
a(n) is the smallest integer k>1 such that |log(k)-round(log(k))| is smaller than 10^(-n).
Original entry on oeis.org
3, 20, 1096, 2981, 59874, 442413, 8886110, 65659969, 178482301, 3584912846, 26489122130, 195729609429, 3931334297144, 78962960182680, 214643579785916, 4311231547115195, 31855931757113756, 86593400423993747, 12851600114359308275, 34934271057485095348
Offset: 1
For n=4 a(n)=2981, because 2981 is the smallest integer greater than 1 such that |log(2981)-round(2981)| = 0.00001409... < 10^(-4).
-
n := 1: for i from 2 to 10^10 do if abs(evalf(log(i)) - floor(log(i) + 1/2)) < 10^(-n) then print(i); n := n + 1 fi end do;
-
\\ suitable precision needed.
a(n)={my(epsilon=1.0/10^n); for(k=1, oo, my(t=floor(exp(k))); if(k-log(t)Andrew Howroyd, Jun 14 2021
A092756
Partial sums of round(exp(n)).
Original entry on oeis.org
3, 10, 30, 85, 233, 636, 1733, 4714, 12817, 34843, 94717, 257472, 699885, 1902489, 5171506, 14057617, 38212570, 103872539, 282354840, 767520035, 2086335769, 5671248615, 15416052061, 41905174191, 113910073528, 309639682957
Offset: 1
a(1) = round(exp(1))
a(2) = a(1) + round(exp(2))
a(3) = a(2) + round(exp(3))
a(4) = a(3) + round(exp(4))
...
More terms from Pab Ter (pabrlos(AT)yahoo.com), May 24 2004
A305289
Powers of 2*Pi, rounded to the nearest integer.
Original entry on oeis.org
1, 6, 39, 248, 1559, 9793, 61529, 386598, 2429064, 15262259, 95895601, 602529829, 3785806568, 23786924201, 149457652642, 939070127125, 5900351625162, 37073002638414, 232936545470713, 1463583480006755, 9195966217409213, 57779959822545404, 363042194606444109, 2281061383037441740
Offset: 0
-
Round[(2Pi)^Range[0,30]] (* Harvey P. Dale, Aug 12 2021 *)
-
apply( a(n)=(2*Pi)^n\/1, [0..40])
Comments