A054235 Consider all integer triples (i,j,k), j,k>0, with i^3=j^3+binomial(k+2,3), ordered by increasing i; sequence gives j values.

2, 1, 31, 62, 11, 174, 120, 1352, 1168, 1140, 2602, 1244, 1394, 2287, 2982, 4469, 644, 3073, 1879, 10771, 1309, 17437, 35739, 734, 17425, 30566, 27350, 45142, 33266, 37592, 32212, 56555, 20376, 29832, 66403, 111466, 116150, 98808, 15668, 14279, 63561

Offset

1,1

Comments

i values are A054234 and k values are A054236

Links

Jon E. Schoenfield, Table of n, a(n) for n=1..41

Example

4^3 = 64 = 2^3+binomial(6+2,3); 11^3 = 1331 = 1^3+binomial(19+2,3).

Mathematica

(* This is just a re-computation of A054235, given A054234 *)
A054234 = Cases[Import["https://oeis.org/A054234/b054234.txt", "Table"], {_, _}][[All, 2]];
A054235 = Reap[ Do[ Do[ r = Reduce[ i^3 == j^3 + Binomial[k+2, 3], k, Integers]; If[r =!= False, ijk = {i, j, k} /. ToRules[r]; Print[ijk]; Sow[ijk[[2]]]; Break[]], {j, 1, i-2}], {i, A054234}]][[2, 1]] (* Jean-François Alcover, Jan 03 2013, updated Jan 24 2020 *)

Crossrefs

Sequence in context: A005693 A158419 A074011 * A016547 A081541 A344105

Adjacent sequences: A054232 A054233 A054234 * A054236 A054237 A054238

Keyword

nice,nonn

Author

Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Feb 07 2000

Extensions

More terms from Jon E. Schoenfield, Jan 19 2009

Status

approved