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 A302972 a(n) is the smallest integer r such that A002828(r*n) = 4. 0
 7, 14, 5, 7, 3, 10, 1, 14, 7, 6, 5, 5, 3, 2, 1, 7, 7, 14, 5, 3, 3, 10, 1, 10, 7, 6, 5, 1, 3, 2, 1, 14, 7, 14, 5, 7, 3, 10, 1, 6, 7, 6, 5, 5, 3, 2, 1, 5, 7, 14, 5, 3, 3, 10, 1, 2, 7, 6, 5, 1, 3, 2, 1, 7, 7, 14, 5, 7, 3, 10, 1, 14, 7, 6, 5, 5, 3, 2, 1, 3, 7, 14, 5, 3, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All terms are squarefree. LINKS Table of n, a(n) for n=1..85. FORMULA a(n^2) = 7. a(n^2) + A302694(n^2) + A302690(n^2) + A007913(n^2) = 13. a(n^2)*A302694(n^2)*A302690(n^2)*A007913(n^2) = 42. EXAMPLE a(1) = 7 because A002828(1*1) = 1, A002828(2*1) = 2, A002828(3*1) = 3, A002828(5*1) = 2, A002828(6*1) = 3, ..., and 7 is the smallest positive multiplier leading to A002828(7*1) = 7. PROG (PARI) istwo(n:int)=my(f); if(n<3, return(n>=0); ); f=factor(n>>valuation(n, 2)); for(i=1, #f[, 1], if(bitand(f[i, 2], 1)==1&&bitand(f[i, 1], 3)==3, return(0))); 1; isthree(n:int)=my(tmp=valuation(n, 2)); bitand(tmp, 1)||bitand(n>>tmp, 7)!=7; a002828(n)=if(issquare(n), !!n, if(istwo(n), 2, 4-isthree(n))); \\ A002828 a(n) = {my(m=1); while(a002828(m*n)!=4, m++); m; } \\ Michel Marcus, Apr 17 2018 CROSSREFS Cf. A002828, A005117, A007913, A302690, A302694. Sequence in context: A188929 A258767 A169845 * A115146 A340312 A029844 Adjacent sequences: A302969 A302970 A302971 * A302973 A302974 A302975 KEYWORD nonn AUTHOR Juri-Stepan Gerasimov, Apr 16 2018 EXTENSIONS More terms from Michel Marcus, Apr 17 2018 STATUS approved

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Last modified August 9 08:29 EDT 2024. Contains 375035 sequences. (Running on oeis4.)