OFFSET
1,1
COMMENTS
The conjecture in A266230 implies that a(n) > 0 for all n > 0.
LINKS
Zhi-Wei Sun, Table of n, a(n) for n = 1..10000
EXAMPLE
a(1) = 6 since 6^2 - 1 = 2^3 + 3^3.
a(3) = 61 since 61^2 - 3 = 7^3 + 15^3.
a(4) = 47 since 47^2 - 4 = 2^3 + 13^3.
a(5) = 3283 since 3283^2 - 5 = 65^3 + 219^3.
a(166) = 6554 since 6554^2 - 166 = 175^3 + 335^3.
a(635) = 44779 since 44779^2 - 635 = 25^3 + 1261^3.
MATHEMATICA
CQ[n_]:=CQ[n]=IntegerQ[n^(1/3)]
Do[x=Floor[Sqrt[n]]+1; Label[bb]; Do[If[CQ[-n+x^2-y^3], Print[n, " ", x]; Goto[aa]], {y, 1, ((-n+x^2)/2)^(1/3)}]; x=x+1; Goto[bb]; Label[aa]; Continue, {n, 1, 70}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Zhi-Wei Sun, Dec 24 2015
STATUS
approved