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 A003140 Number of coprime chains with largest member prime(n). (Formerly M0896) 2
 1, 1, 2, 3, 9, 10, 19, 20, 32, 84, 85, 161, 212, 214, 260, 521, 818, 820, 1189, 1406, 1415, 2005, 2375, 3351, 5698, 6122, 6141, 6600, 6623, 7270, 23993, 26735, 33686, 33753, 55735, 55750, 66498, 85117, 90310, 147374, 165450, 165479, 249822, 250176 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A coprime chain is a nonempty set of integers greater than 1 such that all primes <= the largest member divide exactly one term of the set. - Charles R Greathouse IV, Apr 24 2013 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Charlie Neder, Table of n, a(n) for n = 1..62 R. C. Entringer, The number of coprime chains with largest member n, Proc. Amer. Math. Soc., 16 (1965), 806-810. R. C. Entringer, The number of coprime chains with largest member n, Proc. Amer. Math. Soc., 16 (1965), 806-810. [Annotated scanned copy] R. C. Entringer, Some properties of certain sets of coprime integers, Proc. Amer. Math. Soc. 16 (1965), 515-521. PROG (PARI) isCC(v)=forprime(p=2, vecmax(v), if(sum(i=1, #v, v[i]%p==0)!=1, return(0))); 1 A003139(n)=my(v=vector(n-1, i, i+1)); sum(i=2^(n-2), 2^(n-1)-1, isCC(vecextract(v, i))) a(n)=if(n<3, return(1)); my(p=prime(n)); sum(k=precprime(p-1), p-1, A003139(k)) \\ Charles R Greathouse IV, Apr 24 2013 CROSSREFS Cf. A003139. Sequence in context: A098020 A047358 A280731 * A057234 A109636 A057236 Adjacent sequences:  A003137 A003138 A003139 * A003141 A003142 A003143 KEYWORD nonn,nice AUTHOR EXTENSIONS a(31)-a(44) from Charlie Neder, Dec 15 2018 STATUS approved

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Last modified August 14 04:13 EDT 2020. Contains 336477 sequences. (Running on oeis4.)