A286351 a(n) is the number of decompositions of 2^(n-1)*(2^n-1) into 3 nonnegative cubes.

0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 6, 3, 0, 1, 1, 3, 0, 4, 1, 2, 1, 2, 2, 8, 0, 0, 0, 7, 3, 10, 1, 4, 1, 2, 3, 2

Offset

1,11

Comments

From Giovanni Resta, May 09 2017: (Start)

The triples corresponding to n<=40 are reported in the cited paper. Those corresponding to a(41)-a(43) are:

41: (1806336, 90370048, 118874112), (9340200, 89678370, 119250526);

42: (24663948, 61547632, 211219316), (37015132, 42806240, 188598692),

(94126080, 154352128, 172803584);

43: (16384, 266321920, 270516224), (94478388, 245170170, 284820886).

(end)

Links

Table of n, a(n) for n=1..43.

Maciej Ulas, A note on the Diophantine equation 2^(n-1)*(2^n-1)=x^3+y^3+z^3, arXiv:1705.01074 [math.NT], 2017. See Table 1 p. 4.

Mathematica

Table[Length@ PowersRepresentations[2^(n - 1) (2^n - 1), 3, 3] - Boole[n == 1], {n, 17}] (* Michael De Vlieger, May 08 2017 *)

Crossrefs

Cf. A006516, A051343.

Sequence in context: A156663 A139366 A049767 * A091394 A029881 A347290

Adjacent sequences: A286348 A286349 A286350 * A286352 A286353 A286354

Keyword

nonn,more

Author

Michel Marcus, May 08 2017

Extensions

a(41)-a(43) from Giovanni Resta, May 09 2017

Status

approved