A080389 Numbers n such that gcd( n+1, binomial(n, floor(n/2)) ) = 1.
1, 2, 3, 4, 6, 7, 8, 10, 12, 15, 16, 18, 20, 22, 24, 26, 28, 30, 31, 36, 40, 42, 46, 48, 52, 54, 56, 58, 60, 63, 64, 66, 70, 72, 74, 78, 80, 82, 88, 96, 100, 102, 106, 108, 112, 114, 118, 120, 124, 126, 127, 130, 132, 136, 138, 148, 150, 156, 162, 166, 168, 170, 172, 178
Offset: 1
Programs
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Mathematica
Select[Range@ 180, CoprimeQ[# + 1, Binomial[#, Floor[#/2]]] &] (* Michael De Vlieger, Jul 30 2017 *)
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PARI
for(n=1,199,if(gcd(n+1,binomial(n,n\2))==1,print1(n,", "))); \\ Joerg Arndt, Jul 30 2017
Extensions
Name corrected by Joerg Arndt, Jul 30 2017