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A338433 Values of n for which A070939(n^3) differs from A004221(n). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Jeremy Gardiner, Table of n, a(n) for n = 1..1083

Index entries for linear recurrences with constant coefficients, signature (2,-1).

MAPLE

filter:= n -> evalb(ilog2(n^3)+1 <> ceil(10*log[10](n))):

select(filter, [$1..1000]); # Robert Israel, Oct 27 2020

MATHEMATICA

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

CROSSREFS

Cf. A004221, A070939, A111393, A329193.

Sequence in context: A061830 A235282 A270296 * A347368 A041790 A041788

Adjacent sequences: A338430 A338431 A338432 * A338434 A338435 A338436

KEYWORD

nonn

AUTHOR

Jeremy Gardiner, Oct 27 2020

STATUS

approved

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Last modified December 4 21:02 EST 2022. Contains 358570 sequences. (Running on oeis4.)