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A246717 Numbers of the form 2n - 1 such that A246702(n) = 2. 4

%I #29 Nov 16 2014 11:50:09

%S 7,17,23,35,41,47,49,71,77,79,95,97,103,115,137,143,167,175,191,193,

%T 199,209,235,239,245,263,271,289,295,299,311,313,319,335,343,359,367,

%U 371,383,395,401,407,409,413,415,437,449,463,475,479,487,503,515,517,521,529,535,539,551,569,575,581,583,599,607,611,647,649,667,695,707

%N Numbers of the form 2n - 1 such that A246702(n) = 2.

%C From _Antti Karttunen_, Nov 15 2014: (Start)

%C Equally: Odd numbers n for which A246702((n+1)/2) = 2.

%C Primes in this sequence: 7, 17, 23, 41, 47, 71, 79, ... seem to be A115591.

%C A249819 gives the composite terms.

%C (End)

%H Antti Karttunen, <a href="/A246717/b246717.txt">Table of n, a(n) for n = 1..105</a>

%o (PARI)

%o isA246717(n) = { if(!(n%2), return(0), my(u, s=0); u = n^2; for(k=1, u-1, if(!(((2^k)-1)%u), s++;if(s > 2, return(0)))); return(2==s)); }

%o n = 0; i = 0; while(i < 105, n++; if(isA246717(n), i++; write("b246717.txt", i, " ", n))); \\ From _Antti Karttunen_, Nov 15 2014

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A246717 (MATCHING-POS 1 1 (lambda (n) (and (odd? n) (= 2 (A246702 (/ (+ 1 n) 2)))))))

%Y Cf. A002326, A115591, A249819, A167791, A246702.

%K nonn

%O 1,1

%A _Juri-Stepan Gerasimov_, Nov 15 2014

%E Terms corrected by _Antti Karttunen_, Nov 15 2014

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)