A267477 -id:A267477 - cp's OEIS frontend

A322101 Numbers whose square can be written as the average of two positive cubes in more than one way.

19494, 155952, 447174, 526338, 1247616, 1788696, 2436750, 3577392, 4210704, 5978882, 6686442, 8596854, 9142686, 9344846, 9980928, 11973150, 12073698, 14211126, 14309568, 16875664, 19494000, 25946514, 28619136, 30955750, 33685632, 33957846, 42828318, 47831056

Offset: 1

Giovanni Resta, Nov 26 2018

nonn

The first square with 3 representations is that of a(103) = 835805250, which can be written as (139650^3 + 1117200^3)/2, (395010^3 + 1101240^3)/2, and (628425^3 + 1047375^3)/2.

			19494 is a term because 19494^2 can be written as (114^3 + 912^3)/2 and (513^3 + 855^3)/2.

Cf. A186885, A267477.

A322102 Numbers that can be written as the average of two positive cubes in more than one way.

Original entry on oeis.org

2052, 6916, 16416, 19656, 32116, 32864, 55328, 55404, 82732, 85644, 131328, 157248, 160132, 186732, 256500, 256928, 262912, 402844, 442624, 443232, 477508, 497344, 504868, 508248, 530712, 537516, 546364, 597556, 661856, 665532, 685152, 703836, 783364, 804636

Offset: 1

Giovanni Resta, Nov 26 2018

nonn

The first term with 3 representations is 59912244, which is equal to (11^3 + 493^3)/2, (90^3 + 492^3)/2, and (346^3 + 428^3)/2.

			2052 is a term because it is equal to (2^3 + 16^3)/2 and (9^3 + 15^3)/2.

Cf. A268319, A267477.

Select[Range[10^5], Length[PowersRepresentations[2 #, 2, 3]] > 1 &]

cp's OEIS Frontend

A322101 Numbers whose square can be written as the average of two positive cubes in more than one way.

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