Search: id:A061344
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%I A061344
%S A061344 4,6,8,10,12,14,18,20,24,26,28,30,32,38,42,44,48,50,54,60,62,68,72,74,
%T A061344 80,82,84,90,98,102,104,108,110,114,122,126,128,132,138,140,150,152,158,
%U A061344 164,168,170,174,180,182,192,194,198,200,212,224,228,230,234,240
%N A061344 Numbers of form p^m + 1, p odd prime, m >= 1.
%C A061344 Lengths of almost-binary sequences with perfect odd-periodic autocorrelation 
               function.
%C A061344 As J. Arndt points out, each element of this sequence leads to a conference 
               matrix (cf. link to Wikipedia and A000952). - M. F. Hasler, Mar 14 
               2008
%D A061344 H. D. Lueke, Binary odd-periodic complementary sequences. IEEE Trans. 
               Inform. Theory, 43, pp. 365-367, 1997.
%H A061344 M. F. Hasler, <a href="b061344.txt">Table of n, a(n) for n=1,...,10 000</
               a>.
%H A061344 Wikipedia, <a href="http://en.wikipedia.org/wiki/Conference_matrix">Conference 
               matrix</a>.
%o A061344 (PARI) A061344(n)={ local(m=1,p); for(c=1,n, until( isprime(m+=2) | ispower(m,
               [null],&p) & isprime(p),); /*print(c," ",m+1)*/); m+1} \\ - M. F. 
               Hasler, Mar 14 2008
%Y A061344 Equals A061345 + 1. Cf. A000952.
%Y A061344 Sequence in context: A111305 A134928 A141109 this_sequence A066664 A064938 
               A050990
%Y A061344 Adjacent sequences: A061341 A061342 A061343 this_sequence A061345 A061346 
               A061347
%K A061344 nonn,easy
%O A061344 1,1
%A A061344 Hans Dieter Lueke (lueke(AT)ient.rwth-aachen.de), Jun 08 2001
%E A061344 More terms from Larry Reeves (larryr(AT)acm.org), Jun 12 2001
%E A061344 Edited by M. F. Hasler (MHasler(AT)univ-ag.fr), Mar 14 2008

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