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

Author

Wolfdieter Lang, Mar 27 2013

Keywords

• nonn
• fini
• full

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.

Crossrefs

Cf. A123120, A047701.