

A088587


Difference between the two segments of edge d = A089025(n) partitioned by cevian c = A088513(n).


2



2, 1, 11, 13, 26, 22, 23, 47, 13, 46, 11, 74, 61, 2, 37, 71, 107, 97, 23, 22, 118, 59, 146, 37, 143, 1, 109, 166, 191, 73, 83, 193, 26, 131, 94, 157, 11, 122, 239, 253, 59, 299, 73, 142, 286, 167, 169, 227, 362, 46, 121, 83, 277, 358, 218
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OFFSET

1,1


COMMENTS

a(n) is minimal, i.e., equals 1 for values c = A001570(n), d = A028230(n).


LINKS

Table of n, a(n) for n=1..55.


FORMULA

a(n) = sqrt(4c^2  3d^2).


MATHEMATICA

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


CROSSREFS

Cf. A088514.
Sequence in context: A038586 A140316 A295852 * A305711 A158352 A158354
Adjacent sequences: A088584 A088585 A088586 * A088588 A088589 A088590


KEYWORD

nonn


AUTHOR

Lekraj Beedassy, Nov 20 2003


EXTENSIONS

a(35)=94 and a(36)=157 order reversed by Andrew Turner, Aug 04 2017


STATUS

approved



