A088587 -id:A088587 - cp's OEIS frontend

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

Lekraj Beedassy, Nov 14 2003

nonn

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

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 *)

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

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

A088586 Larger section of edge A089025(n) by integral cevian A088513(n).

Original entry on oeis.org

5, 8, 16, 24, 33, 35, 39, 56, 45, 63, 51, 85, 80, 57, 77, 95, 120, 120, 88, 91, 143, 115, 161, 112, 175, 105, 165, 195, 208, 160, 168, 224, 145, 203, 187, 221, 155, 217, 279, 288, 192, 320, 209, 247, 323, 272, 280, 315, 385, 231, 273, 259, 357, 399, 333

Offset: 1

Lekraj Beedassy, Nov 20 2003

nonn

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

a(n) = (A089025(n) + A088587(n))/2. - Lekraj Beedassy, Nov 25 2003

Repeated 112 at a(24) and a(25) removed, and order of a(35)=187 and a(36)=221 reversed by Andrew Turner, Aug 04 2017

cp's OEIS Frontend

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

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