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A171945 P-positions for game of misere version of Mark. 4

%I #17 Jul 11 2019 14:44:58

%S 1,4,6,10,14,16,18,22,24,26,30,34,38,40,42,46,50,54,56,58,62,64,66,70,

%T 72,74,78,82,86,88,90,94,96,98,102,104,106,110,114,118,120,122,126,

%U 130,134,136,138,142,146,150,152,154,158,160,162,166,168,170,174

%N P-positions for game of misere version of Mark.

%C The same as A036554 except for the replacement of dopey by vile powers of 2. - Aviezri Fraenkel, Apr 28 2011

%H Aviezri S. Fraenkel, <a href="http://dx.doi.org/10.1016/j.disc.2011.03.032">The vile, dopey, evil and odious game players</a>, Discrete Math. 312 (1) (2012) 42-46.

%p isA171944 := proc(n)

%p option remember;

%p if n =0 or n =2 then

%p true;

%p elif isA171945(n) then

%p false;

%p else

%p true ;

%p end if;

%p end proc:

%p isA171945 := proc(n)

%p option remember;

%p if n = 0 or n =2 then

%p false ;

%p elif n = 1 then

%p true;

%p elif n mod 2 <> 0 then

%p return false;

%p elif isA171944(n/2) then

%p true;

%p else

%p false ;

%p end if;

%p end proc:

%p for n from 0 to 400 do

%p if isA171945(n) then

%p printf("%d,",n);

%p end if;

%p end do: # _R. J. Mathar_, Mar 28 2013

%t lim = 210; S = {1}; A = {};

%t Do[d = Divisors[n]; If[Complement[d, S] != {n}, A = Append[A, n]; S = Union[S, d]], {n, 1, lim}];

%t A (* _Jean-François Alcover_, Jul 11 2019, after _Peter Luschny_ in A171944 *)

%Y Complement of A171944. Also for n>1, twice A171944. Cf. A036554.

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_, Oct 29 2010

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Last modified June 26 12:21 EDT 2024. Contains 373718 sequences. (Running on oeis4.)