A158439 Numbers arising in Kane's conjecture on representing sets with sums of triangular numbers.

1, 5, 7, 9, 11, 13, 17, 19, 25, 29, 35, 49, 89

Offset

1,2

Comments

Similar to Conway-Schneeberger 15 theorem. Kane, p.2: Conjecture 1.3. A sum of triangular numbers f represents all odd integers if and only if it represents the integers 1, 5, 7, 9, 11, 13, 17, 19, 25, 29, 35, 49, 89.

Links

Table of n, a(n) for n=1..13.

Ben Kane, Representing Sets with Sums of Triangular Numbers, arXiv:0903.3026 [math.NT], Mar 17 2009.

Crossrefs

Cf. A000217, A030050.

Sequence in context: A081001 A075025 A075394 * A124112 A049758 A064077

Adjacent sequences: A158436 A158437 A158438 * A158440 A158441 A158442

Keyword

nonn,fini,full

Author

Jonathan Vos Post, Mar 19 2009

Status

approved