A004221 -id:A004221 - cp's OEIS frontend

A338433 Values of n for which A070939(n^3) differs from A004221(n).

1, 20, 40, 80, 101, 126, 127, 159, 160, 161, 200, 201, 202, 203, 252, 253, 254, 255, 317, 318, 319, 320, 321, 322, 399, 400, 401, 402, 403, 404, 405, 406, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645

Offset: 1

Jeremy Gardiner, Oct 27 2020

nonn

Sequence gives the values of n for which the length of the binary representation of n^3 differs from ceiling(10*log_10(n)) rounded up.

The largest number not in the sequence is 158489319246111348520210137339 = floor(10^29.2). - Robert Israel, Oct 27 2020

Jeremy Gardiner, Table of n, a(n) for n = 1..1083
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A004221, A070939, A111393, A329193.

filter:= n -> evalb(ilog2(n^3)+1 <> ceil(10*log[10](n))):
select(filter, [$1..1000]); # Robert Israel, Oct 27 2020

Select[Range[1000], IntegerLength[#^3, 2] != Ceiling[10*Log10[#]] &] (* Amiram Eldar, Oct 27 2020 *)

A004230 a(n) = 10000*log_10(n) rounded up.

Original entry on oeis.org

0, 3011, 4772, 6021, 6990, 7782, 8451, 9031, 9543, 10000, 10414, 10792, 11140, 11462, 11761, 12042, 12305, 12553, 12788, 13011, 13223, 13425, 13618, 13803, 13980, 14150, 14314, 14472, 14624

Offset: 1

N. J. A. Sloane

nonn

Cf. A004228, A004239.

Cf. A004218, A004221, A004224, A004227.

A004224 a(n) = 100*log_10(n) rounded up.

Original entry on oeis.org

0, 31, 48, 61, 70, 78, 85, 91, 96, 100, 105, 108, 112, 115, 118, 121, 124, 126, 128, 131, 133, 135, 137, 139, 140, 142, 144, 145, 147, 148, 150, 151, 152, 154, 155, 156, 157, 158, 160, 161, 162, 163, 164, 165

Offset: 1

N. J. A. Sloane

nonn

Cf. A004222, A004223.

Cf. A004218, A004221, A004227, A004230.

Ceiling[100 Log10[Range[50]]] (* Harvey P. Dale, Jun 05 2021 *)

cp's OEIS Frontend

A338433 Values of n for which A070939(n^3) differs from A004221(n).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Maple

Mathematica

A004230 a(n) = 10000*log_10(n) rounded up.

Views

Author

Keywords

Crossrefs

A004224 a(n) = 100*log_10(n) rounded up.

Views

Author

Keywords

Crossrefs

Programs

Mathematica