A172251 Arises in the representability of integers as sums of triangular numbers.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20, 23, 24, 25, 26, 29, 32, 33, 34, 35, 38, 41, 46, 47, 48, 50, 53, 54, 58, 62, 63, 75, 86, 96, 101, 102, 113, 117, 129, 162, 195, 204, 233

Offset

1,2

Comments

Wieb Bosma, p.10: Following the bounds given in the proof of Theorem 1.6, computational evidence suggests that... a proof of the above identity using the techniques of Bhargava and Hanke developed in the proof of the 290-Theorem may require a careful analysis of a possible Siegel zero. The sequence given is thus conjectured to be complete as shown.

References

M. Bhargava, J. Hanke, Universal Quadratic Forms and the 290-Theorem, preprint.

Links

Table of n, a(n) for n=1..49.

Wieb Bosma, Ben Kane, The triangular theorem of eight and a certain non-finiteness theorem , v.2, Jan 28, 2010.

Crossrefs

Cf. A030051.

Sequence in context: A335513 A367906 A022551 * A286997 A187396 A020659

Adjacent sequences: A172248 A172249 A172250 * A172252 A172253 A172254

Keyword

fini,full,nonn

Author

Jonathan Vos Post, Jan 29 2010

Status

approved