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Search: id:A059873
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| A059873 |
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The lexicographically first sequence of binary encodings of solutions satisfying the equation given in A059871. |
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+0
6
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| 1, 3, 5, 13, 21, 46, 78, 175, 303, 639, 1143, 2539, 4542, 9214, 17406, 36735, 69374, 139254, 270327, 556031, 1079294, 2162678, 4259819, 8642558, 17022974, 34078590, 67632893, 136249338, 270401534, 541064701, 1077935867, 2162163707
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The encoding is explained in A059872. Apply bin_prime_sum (see A059876) to this sequence, and you get A000040, the prime numbers.
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MAPLE
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primesums_primes_search(16); primesums_primes_search := (upto_n) -> primesums_primes_search_aux([], 1, upto_n); primesums_primes_search_aux := proc(a, n, upto_n) local i, p, t; if(n > upto_n) then RETURN(a); fi; p := ithprime(n); for i from (2^(n-1)) to ((2^n)-1) do t := bin_prime_sum(i); if(t = p) then print([op(a), i]); RETURN(primesums_primes_search_aux([op(a), i], n+1, upto_n)); fi; od; RETURN([op(a), `and no more found`]); end;
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CROSSREFS
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Cf. A059459, A059874, A059875.
Sequence in context: A106916 A034484 A059872 this_sequence A059874 A059875 A086893
Adjacent sequences: A059870 A059871 A059872 this_sequence A059874 A059875 A059876
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen Feb 05 2001
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EXTENSIONS
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More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Sep 12 2001
More terms from Larry Reeves (larryr(AT)acm.org), Nov 20 2003
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