Search: id:A059872
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%I A059872
%S A059872 1,3,5,13,21,46,51,52,78,83,84,175,181,205,210,303,309,333,338,390,392,
%T A059872 639,698,726,728,737,822,824,846,851,852,903,905,1143,1145,1197,1202,
%U A059872 1226,1232,1311,1322,1328,1350,1352,1409,1562,1571,1572,1601,2539,2540
%N A059872 Solutions to the equation given in A059871, encoded as binary vectors 
               and converted to decimal.
%C A059872 The rows of this table have lengths given by A059871[n]: 1;3;5;13;21;
               46,51,52;78,83,84;175,181,205,210; etc...
%C A059872 In binary encodings, the least significant bit (bit-0) stands for the 
               factor of 1, the next bit (bit-1) stands for the factor of 2, bit-2 
               for the factor of 3, bit-3 for the factor of 5, etc., each bit being 
               0 if the corresponding factor is -1 and 1 if it is +1 (or +2 if the 
               bit is the most significant bit of the code of odd length).
%C A059872 E.g. we have 2 = 2*1 -> 1 in binary, 3 = 1*2 + 1*1 -> 11 in binary, 5 
               = 2*3 - 1*2 + 1*1 -> 101 in binary, 7 = 1*5 + 1*3 - 1*2 + 1*1 -> 
               1101 in binary, 11 = 2*7 - 1*5 + 1*3 - 1*2 + 1*1 -> 10101 in binary. 
               Function bin_prime_sum given in A059876 maps such encodings back 
               to primes.
%p A059872 map(op, primesums_primes_mult(16)); # primesums_primes_mult given in 
               A059871.
%Y A059872 Cf. A059873-A059875.
%Y A059872 Sequence in context: A112928 A106916 A034484 this_sequence A059873 A059874 
               A059875
%Y A059872 Adjacent sequences: A059869 A059870 A059871 this_sequence A059873 A059874 
               A059875
%K A059872 nonn,tabf
%O A059872 1,2
%A A059872 Antti Karttunen Feb 05 2001

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