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 A129322 Triangle where the n-th row lists the smallest n positive integers which are coprime to the n-th Fibonacci number. 2
 1, 1, 2, 1, 3, 5, 1, 2, 4, 5, 1, 2, 3, 4, 6, 1, 3, 5, 7, 9, 11, 1, 2, 3, 4, 5, 6, 7, 1, 2, 4, 5, 8, 10, 11, 13, 1, 3, 5, 7, 9, 11, 13, 15, 19, 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 5, 7, 11, 13, 17, 19, 23, 25, 29, 31, 35, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 1, 2, 4, 5, 8, 10, 11, 13, 16, 17, 19, 20, 22, 23, 25, 26 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Michael De Vlieger, Table of n, a(n) for n = 1..11325 (rows 1 <= n <= 150, flattened). EXAMPLE The 8th Fibonacci number is 21. So row 8 lists the 8 smallest positive integers which are coprime to 21: (1,2,4,5,8,10,11,13). 1; 1,2; 1,3,5; 1,2,4,5; 1,2,3,4,6; 1,3,5,7,9,11; 1,2,3,4,5,6,7; 1,2,4,5,8,10,11,13; 1,3,5,7,9,11,13,15,19; 1,2,3,4,6,7,8,9,12,13; MAPLE A129322 := proc(n, m)     option remember;     local f, a;     f := combinat[fibonacci](n) ;     if m = 1 then         return 1;     else         for a from procname(n, m-1)+1 do             if igcd(f, a) = 1 then                 return a;             end if;         end do:     end if; end proc: # R. J. Mathar, Dec 14 2016 MATHEMATICA Table[Block[{m = Fibonacci@n, r = {1}, k = 2}, While[Length@ r < n, If[GCD[k, m] == 1, AppendTo[r, k], Nothing]; k++]; r], {n, 16}] // Flatten (* Michael De Vlieger, Dec 26 2019 *) CROSSREFS Cf. A120839 (diagonal). Sequence in context: A085189 A130466 A239306 * A089984 A284429 A062105 Adjacent sequences:  A129319 A129320 A129321 * A129323 A129324 A129325 KEYWORD nonn,tabl AUTHOR Leroy Quet, May 26 2007 EXTENSIONS More terms from R. J. Mathar, Nov 01 2007 STATUS approved

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Last modified November 27 12:51 EST 2021. Contains 349394 sequences. (Running on oeis4.)