A223729 Numbers appearing in a theorem on the representation of numbers as sums of five non-vanishing squares.

1, 2, 4, 5, 7, 10, 13, 28

Offset

1,2

Comments

See A047701 for the positive numbers that are not the sum of five nonzero squares, which are precisely 1, 2, 3, 4 and 5 + a(n), n = 1,...,8. This appears as Theorem 2. in Grosswald's book on p. 73-4 with references to E. Dubouis (1911) and some others.

References

E. Dubouis, Solution of a problem of J. Tannery, L'Intermédiaire Math. 18 (1911) 55-56.

E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, NY, 1985, p. 73-74.

Links

Table of n, a(n) for n=1..8.

Crossrefs

Cf. A123120, A047701.

Sequence in context: A340246 A062463 A056716 * A190235 A023181 A123065

Adjacent sequences: A223726 A223727 A223728 * A223730 A223731 A223732

Keyword

nonn,fini,full

Author

Wolfdieter Lang, Mar 27 2013

Status

approved