A018936 -id:A018936 - cp's OEIS frontend

A068874 Duplicate of A018936.

1, 25, 49, 81, 100, 169, 196, 289, 361, 529, 529, 900, 900, 1156, 1444, 1681, 2025, 2304

Offset: 1

dead

A018935 a(n) is the smallest m whose square is the sum of n distinct positive squares.

1, 5, 7, 9, 10, 13, 14, 17, 19, 23, 23, 30, 30, 34, 38, 41, 45, 48, 52, 59, 60, 64, 68, 70, 75, 83, 85, 91, 97, 102, 106, 109, 114, 120, 123, 130, 137, 140, 146, 152, 158, 161, 167, 175, 180, 187, 190, 196, 203, 211, 217, 223, 228, 236, 242, 248, 255, 261, 267, 275, 282, 288

Offset: 1

N. J. A. Sloane

nonn

Cf. A018936, A018937.

Corrected and extended by David W. Wilson

Name simplified by Jon E. Schoenfield, Sep 30 2023

A018937 Let S be the smallest square that is the sum of n distinct positive integers. Then a(n) is the smallest k such that there exist n distinct positive integers <= k whose squares sum to S.

Original entry on oeis.org

1, 4, 6, 6, 7, 9, 9, 11, 11, 13, 12, 16, 15, 16, 20, 21, 19, 22, 22, 22, 23, 25, 28, 24, 26, 29, 32, 36, 34, 33, 34, 35, 36, 38, 38, 39, 40, 45, 42, 44, 44, 44, 48, 48, 49, 50, 49, 51, 52, 54, 57, 56, 57, 56, 61, 63, 59, 61, 64, 64, 65, 65, 69, 67, 69, 76, 76, 71, 75, 73, 80, 73

Offset: 1

N. J. A. Sloane

nonn

Cf. A018935, A018936, A103411, A103412, A103413, A103414.

Corrected and extended by David W. Wilson

Name edited by Jon E. Schoenfield, Sep 30 2023

A103411 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives greatest value of x_n.

Original entry on oeis.org

1, 4, 6, 6, 7, 9, 9, 11, 11, 15, 12, 17, 15, 16, 20, 21, 23, 22, 22, 30, 23, 25, 28, 24, 26, 34, 32, 36, 36, 43, 35, 35, 36, 38, 38, 39, 44, 45, 42, 45, 50, 44, 48, 48, 49, 53, 49, 51, 53, 64, 58, 56, 57, 65, 62, 63, 65, 64, 64, 68, 65, 65, 70, 69, 69, 76, 76, 79, 75, 75, 80, 73

Offset: 1

Ray Chandler, Feb 04 2005

nonn

Cf. A018935, A018936, A018937, A103412, A103413, A103414.

A103412 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives value of x_n for lexicographically least {x_1,...,x_n}.

Original entry on oeis.org

1, 4, 6, 6, 7, 9, 9, 11, 11, 15, 12, 16, 15, 16, 20, 21, 23, 22, 22, 30, 23, 25, 28, 24, 26, 33, 32, 36, 35, 43, 34, 35, 36, 38, 38, 39, 42, 45, 42, 44, 50, 44, 48, 48, 49, 50, 49, 51, 52, 64, 57, 56, 57, 65, 61, 63, 65, 61, 64, 64, 65, 65, 69, 67, 69, 76, 76, 79, 75, 73, 80, 73

Offset: 1

Ray Chandler, Feb 04 2005

nonn

Cf. A018935, A018936, A018937, A103411, A103413, A103414.

A103413 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives value of x_n for lexicographically greatest {x_1,...,x_n}.

Original entry on oeis.org

1, 4, 6, 6, 7, 9, 9, 11, 11, 13, 12, 17, 15, 16, 20, 21, 19, 22, 22, 22, 23, 25, 28, 24, 26, 29, 32, 36, 34, 35, 35, 35, 36, 38, 38, 39, 40, 45, 42, 45, 44, 44, 48, 48, 49, 53, 49, 51, 53, 56, 58, 56, 57, 59, 62, 63, 59, 64, 64, 68, 65, 65, 70, 69, 69, 76, 76, 71, 75, 75, 80, 73

Offset: 1

Ray Chandler, Feb 04 2005

nonn

Cf. A018935, A018936, A018937, A103411, A103412, A103414.

A103414 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives number of solutions {x_1,...,x_n}.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 1, 1, 3, 1, 1, 3, 5, 2, 1, 1, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 5, 3, 1, 1, 3, 2, 1, 3, 5, 1, 6, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 5, 1, 3, 10, 4, 9, 1, 1, 1, 1, 5, 5, 4, 6, 9, 1, 4, 1, 1, 2, 1, 1, 2, 1, 9

Offset: 1

Ray Chandler, Feb 04 2005

nonn

Cf. A018935, A018936, A018937, A103411, A103412, A103413.

cp's OEIS Frontend

A068874 Duplicate of A018936.

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A018935 a(n) is the smallest m whose square is the sum of n distinct positive squares.

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Extensions

A018937 Let S be the smallest square that is the sum of n distinct positive integers. Then a(n) is the smallest k such that there exist n distinct positive integers <= k whose squares sum to S.

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Extensions

A103411 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives greatest value of x_n.

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A103412 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives value of x_n for lexicographically least {x_1,...,x_n}.

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Crossrefs

A103413 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives value of x_n for lexicographically greatest {x_1,...,x_n}.

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Crossrefs

A103414 Consider smallest m such that m^2 = x_1^2 + ... + x_n^2 with 0 < x_1 < ... < x_n. Sequence gives number of solutions {x_1,...,x_n}.

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