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A223729 Numbers appearing in a theorem on the representation of numbers as sums of five non-vanishing squares. 0
1, 2, 4, 5, 7, 10, 13, 28 (list; graph; refs; listen; history; text; internal format)
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: A211523 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

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Last modified July 19 04:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)