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A253177 Numbers which can be expressed with fewer 1s using +, -, and * than with + and *. 3

%I #9 Mar 26 2015 14:32:29

%S 23,47,53,59,69,71,89,94,106,107,134,141,142,143,159,161,167,177,178,

%T 179,188,191,207,212,213,214,215,227,233,239,242,251,263,265,267,268,

%U 269,282,283,284,286,287,299,311,317,318,319,321

%N Numbers which can be expressed with fewer 1s using +, -, and * than with + and *.

%C Numbers n such that A005245(n) > A091333(n). Is it true that a(n) ~ n?

%H Charles R Greathouse IV, <a href="/A253177/b253177.txt">Table of n, a(n) for n = 1..3128</a>

%H <a href="/index/Com#complexity">Index to sequences related to the complexity of n</a>

%e 23 = 2*3*4 - 1 = 3*(2*3 + 1) + 2 can be written with 10 1s using subtraction but requires 11 without, hence 23 is a member. Here the digits 2, 3, and 4 are used for clarity, but could be expanded to (1+1), (1+1+1), etc.

%Y Cf. A091333, A005520, A005245, A173419, A255641.

%K nonn

%O 1,1

%A _Charles R Greathouse IV_, Mar 23 2015

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Last modified September 1 16:50 EDT 2024. Contains 375591 sequences. (Running on oeis4.)