A295752 Smallest number with exactly n representations as a sum of seven nonnegative squares.

0, 4, 9, 13, 18, 21, 25, 29, 34, 36, 37, 46, 49, 50, 45, 53, 58, 54, 68, 61, 66, 74, 69, 70, 78, 77, 81, 84, 86

Offset

0,2

Comments

It appears that a(n) does not exist for n in {30, 35, 45, 49, 57, 63, 67, 75, 77, 78, 82, 84, 85, 97, 100, 101, 104, 110, 112, 115, 116, 119, 123, 124, 125, 134, 136, 137, 140, 142, 143, 148, 149, 150, 151, 158, 159, 160, 162, 168, 170, 172, 174, 175, 176, 180, 183, 184, 185, 187, 188, 191, 198}; i.e., there is no integer whose number of representations is any of these values.

References

E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.

Links

Table of n, a(n) for n=0..28.

D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.

Crossrefs

Cf. A025422, A295494.

Sequence in context: A312919 A312920 A312921 * A312922 A312923 A312924

Adjacent sequences: A295749 A295750 A295751 * A295753 A295754 A295755

Keyword

nonn

Author

Robert Price, Nov 26 2017

Status

approved