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 A243046 Number of solutions to k*n/(k+n) = x and k*n/(k-n) = y for integers x and y and natural number k. 2
 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 5, 0, 0, 3, 1, 0, 2, 0, 2, 2, 0, 0, 7, 0, 0, 1, 2, 0, 5, 0, 1, 1, 0, 1, 6, 0, 0, 1, 4, 0, 4, 0, 1, 4, 0, 0, 7, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 13, 0, 0, 3, 1, 0, 3, 0, 1, 1, 2, 0, 8, 0, 0, 3, 1, 0, 3, 0, 4, 1, 0, 0, 10, 0, 0, 1, 1, 0, 7, 1, 1, 1, 0, 0, 7, 0, 0, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 LINKS EXAMPLE 6*k/(k-6) and 6*k/(k+6) are integers for k = 3 (-6 and 2, respectively) and k = 12 (12 and 4, respectively). Thus a(6) = 2. PROG (PARI) a(n)={t=0; for(k=1, n*(n+1), if(k!=n, if((k*n)%(k+n)==0&&(k*n)/(k-n)==0, t+=1))); return(t)} n=1, while(n<100, print1(a(n), ", "); n+=1) CROSSREFS Cf. A243017, A243045. Sequence in context: A099362 A321378 A307039 * A058940 A141684 A152492 Adjacent sequences:  A243043 A243044 A243045 * A243047 A243048 A243049 KEYWORD nonn AUTHOR Derek Orr, May 29 2014 STATUS approved

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Last modified January 17 09:32 EST 2020. Contains 330949 sequences. (Running on oeis4.)