OFFSET
0,1
EXAMPLE
2^3 = 8 = binomial(2+2,3) + binomial(2+2,3).
11^3 = 1331 = binomial(19+2,3) + binomial(3,3).
MATHEMATICA
(* This is just a re-computation from A054208 *)
ijk = Table[sol = {i, j, k} /. ToRules[Reduce[0 < k <= j && 6*i^3 == j*(j+1)*(j+2) + k*(k+1)*(k+2), {j, k}, Integers]]; Print[sol]; sol, {i, A054208}];
A054209 = ijk[[All, 2]] (* Jean-François Alcover, May 07 2024 *)
CROSSREFS
KEYWORD
nonn,nice,more
AUTHOR
Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Jan 31 2000
EXTENSIONS
More terms from Sascha Kurz, Mar 22 2002
a(21)-a(26) from Sean A. Irvine, Jan 25 2022
a(27)-a(31) from Jean-François Alcover, May 07 2024
STATUS
approved