Search: id:A155898
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%I A155898
%S A155898 1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,1,1,0,0,0,0,
%T A155898 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,
%U A155898 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1
%N A155898 Square matrix T(m,n)=1 if (2m+1)^(2n)-2 is prime, 0 otherwise; read by 
               antidiagonals.
%C A155898 In some sense the "minimal" possible generalization of the pattern of 
               Mersenne primes (cf. A000043) is to consider powers of odd numbers 
               minus 2. Here only even powers are considered (which obviously correspond 
               to an odd power of the base squared).
%o A155898 (PARI) T = matrix( 19,19,m,n, isprime((2*m+1)^(2*n)-2)) ;
%o A155898 A155898 = concat( vector( vecmin( matsize(T)), i, vector( i, j, T[j,i-j+1])))
%Y A155898 Cf. A084714, A128472, A014224, A109080, A090669, A128455, A128457, A128458, 
               A128459, A128460, A128461.
%Y A155898 Sequence in context: A156241 A156254 A010056 this_sequence A115952 A115524 
               A117198
%Y A155898 Adjacent sequences: A155895 A155896 A155897 this_sequence A155899 A155900 
               A155901
%K A155898 easy,nonn
%O A155898 1,1
%A A155898 M. F. Hasler (MHasler(AT)univ-ag.fr), Feb 01 2009

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