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 A085706 Squarefree numbers sandwiched between two brilliant numbers. 0
 5, 870, 1158, 24882, 35238, 37770, 39270, 46002, 47262, 48930, 51810, 55482, 59910, 62430, 65622, 69870, 76458, 85542, 88638, 90942, 91338, 91362, 91830, 93018, 93882, 94362, 95298, 97638, 98070, 99510, 101262, 103602, 112038, 116022, 118230 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..35. EXAMPLE a(3)=1158 because it is squarefree and 1157 = 13*89 is brilliant as is 1159 = 19*61. MATHEMATICA sfnQ[{a_, b_, c_}]:=Module[{a1=FactorInteger[a][[All, 1]], c1= FactorInteger[ c][[All, 1]]}, Length[a1]==Length[c1]==2&&PrimeOmega[a]== PrimeOmega[c] == 2&&IntegerLength[a1[[1]]]==IntegerLength[a1[[2]]]&&IntegerLength[ c1[[1]]] == IntegerLength[c1[[2]]]&&SquareFreeQ[b]]; Join[{5}, Select[ Partition[Range[120000], 3, 1], sfnQ][[All, 2]]] (* Harvey P. Dale, Nov 26 2016 *) CROSSREFS Cf. A078972. Sequence in context: A198402 A214450 A332185 * A190350 A135084 A206356 Adjacent sequences: A085703 A085704 A085705 * A085707 A085708 A085709 KEYWORD nonn AUTHOR Jason Earls, Jul 18 2003 STATUS approved

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Last modified December 2 20:14 EST 2023. Contains 367526 sequences. (Running on oeis4.)