cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Previous Showing 11-20 of 20 results.

A295692 Numbers that have exactly two representations as a sum of six positive squares.

Original entry on oeis.org

21, 24, 29, 42, 58, 64
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295693 Numbers that have exactly three representations as a sum of six positive squares.

Original entry on oeis.org

30, 33, 38, 39, 46, 47, 48, 49, 50, 51, 52, 55, 59, 61, 67
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295694 Numbers that have exactly four representations as a sum of six positive squares.

Original entry on oeis.org

36, 41, 44, 45, 53, 56, 82
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295695 Numbers that have exactly five representations as a sum of six positive squares.

Original entry on oeis.org

63, 66, 70, 73, 74, 79, 85, 91
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295696 Numbers that have exactly six representations as a sum of six positive squares.

Original entry on oeis.org

54, 57, 62, 71, 72, 75, 76, 80, 83, 88, 106
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295697 Numbers that have exactly seven representations as a sum of six positive squares.

Original entry on oeis.org

60, 65, 68, 69, 77, 90, 112
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295698 Numbers that have exactly eight representations as a sum of six positive squares.

Original entry on oeis.org

87, 94, 96, 97, 98, 103, 109
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295699 Numbers that have exactly nine representations as a sum of six positive squares.

Original entry on oeis.org

78, 99, 115
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295700 Numbers that have exactly ten representations as a sum of six positive squares.

Original entry on oeis.org

81, 86, 93, 95, 100, 104, 107, 114, 130, 133
Offset: 1

Views

Author

Robert Price, Nov 25 2017

Keywords

Comments

It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.

References

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

Crossrefs

A295484 Numbers that have exactly one representation as a sum of six nonnegative squares.

Original entry on oeis.org

0, 1, 2, 3, 7
Offset: 1

Views

Author

Robert Price, Nov 22 2017

Keywords

Comments

This sequence is finite and complete. See the von Eitzen Link and the proof in A294675 stating that for n > 5408, the number of ways to write n as a sum of 5 squares (without allowing zero squares) is at least floor(sqrt(n - 101) / 8) = 9. Since this sequence relaxes the restriction of zero squares and allows one more square, the number of representations for n > 5408 is at least nine. Then an inspection of n <= 5408 completes the proof.

References

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

Crossrefs

Previous Showing 11-20 of 20 results.