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A295793 a(n) is the least k such that A295520(k) = n. 1

%I #15 Aug 24 2023 02:42:36

%S 2,4,0,8,25,24,35,34,201,200,203,202,297,296,299,298,1335,1334,1333,

%T 1332,1331,1330,1329,1328,3295,3294,3293,3292,3291,3290,3289,3288,

%U 11749,11748,11761,11760,11745,11744,11765,11764,11757,11756,19623,19622,11753,11752,19619,19618,25475,25474,25473,25472

%N a(n) is the least k such that A295520(k) = n.

%H Robert Israel, <a href="/A295793/b295793.txt">Table of n, a(n) for n = 0..175</a>

%e a(3)=8 because A295520(8)=3 and this is the first appearance of 3 in A295520.

%p N:= 100: # to get a(0)..a(N)

%p A295520:= proc(n) local k;

%p for k from 0 do if isprime(Bits:-Xor(k,n)) then return k fi od

%p end proc:

%p V:= Array(0..N,-1):

%p count:= 0:

%p for n from 0 while count < N+1 do

%p r:= A295520(n);

%p if r <= N and V[r]=-1 then

%p count:= count+1; V[r]:= n

%p fi

%p od:

%p convert(V,list); # _Robert Israel_, Nov 27 2017

%t With[{s = Array[Block[{k = 0}, While[! PrimeQ@ BitXor[k, #], k++]; k] &, 10^6]}, FirstPosition[s, #][[1]] /. 1 -> 0 & /@ Take[#, LengthWhile[Differences@ #, # == 1 &]] &@ Union@ s] (* _Michael De Vlieger_, Nov 27 2017 *)

%o (Python)

%o from itertools import count

%o from sympy import isprime

%o def A295793(n): return next(k for k in count(0) if next((m for m in range(n+1) if isprime(k^m)),None)==n) # _Chai Wah Wu_, Aug 23 2023

%Y Cf. A295520.

%K nonn,base,look

%O 0,1

%A _Robert Israel_, Nov 27 2017

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Last modified September 18 16:48 EDT 2024. Contains 376002 sequences. (Running on oeis4.)