A088514 Smaller section of edge A089025(n) by integral cevian A088513(n).

3, 7, 5, 11, 7, 13, 16, 9, 32, 17, 40, 11, 19, 55, 40, 24, 13, 23, 65, 69, 25, 56, 15, 75, 32, 104, 56, 29, 17, 87, 85, 31, 119, 72, 93, 64, 144, 95, 40, 35, 133, 21, 136, 105, 37, 105, 111, 88, 23, 185, 152, 176, 80, 41, 115

Offset: 1

Author

Lekraj Beedassy, Nov 14 2003

Keywords

• nonn

Comments

Obviously, larger section is A089025(n) - a(n).

Programs

Mathematica

findPrimIntEquiSmallSection[maxC_] :=
Reap[Do[Do[
     With[{cevian = Abs[c E^((2 \[Pi] I)/6) - a]},
      If[FractionalPart[cevian] == 0 && GCD[a, c] == 1,
       Sow[a]; Break[]]], {a, Floor[c/2],
      1, -1}], {c, maxC}]][[2, 1]]
(* Andrew Turner, Aug 04 2017 *)

Formula

Larger section is A089025(n) - a(n) = A088586(n). a(n) = (A089025(n) - A088587(n))/2. - Lekraj Beedassy, Nov 25 2003

Extensions

a(7) changed from 18 to 16 by W. D. Smith, Mar 04 2012 (N. J. A. Sloane, Dec 05 2012)

a(42) changed from 105 to 21, and a(52)=176 inserted by Andrew Turner, Aug 04 2017