A097757 -id:A097757 - cp's OEIS frontend

A097758 Greatest integer that can be written as a sum of distinct squares in exactly n ways, or -1 if no such number exists.

128, 132, 188, 192, 193, 213, 228, 224, 253, 288, 257, 293, 297, 292, 317, 301, 333, 284, 337, 357, 353, 329, 332, 349, 336, 373, 397, 362, 393, 372, 377, 413, 368, 365, 388, 389, 417, 437, 433, 319, 343, 421, 405, 457, 453, 364, 408, 351, 432, 402, 473

Offset: 0

Ray Chandler, Sep 06 2004

nonn

Trailing edge of table described in A097757; leading edge is A097563.

Eric Weisstein's World of Mathematics, Square Number.

Cf. A001422, A003995, A033461, A097563, A097757, A097759, A097760.

A097759 Number of integers that can be written as a sum of distinct squares in exactly n ways.

Original entry on oeis.org

31, 38, 25, 30, 19, 14, 13, 10, 17, 15, 6, 11, 7, 6, 10, 5, 8, 6, 8, 5, 7, 6, 1, 4, 4, 10, 3, 7, 7, 3, 4, 5, 3, 6, 5, 2, 5, 3, 2, 1, 2, 8, 1, 3, 5, 1, 4, 1, 4, 2, 4, 7, 2, 2, 2, 4, 1, 1, 5, 1, 2, 2, 5, 2, 3, 2, 2, 2, 0, 1, 5, 2, 3, 1, 1, 1, 2, 2, 6, 1, 4, 0, 2, 1, 3, 1, 3, 4, 0, 2, 4, 5, 1, 1, 1, 0, 2, 1

Offset: 0

Ray Chandler, Sep 06 2004

nonn

Number of terms in row n of table described in A097757.

Eric Weisstein's World of Mathematics, Square Number.

Cf. A001422, A003995, A033461, A097563, A097757, A097758, A097760.

A097760 Index of zero values in A097759; also index of -1 values in A097563 and A097758.

Original entry on oeis.org

68, 81, 88, 95, 99, 104, 107, 115, 116, 118, 126, 134, 139, 149, 150, 152, 153, 157, 163, 164, 169, 177, 178, 180, 181, 184, 193, 197, 204, 207, 208, 209, 211, 212, 215, 217, 220, 225, 226, 227, 228, 229, 230, 231, 232, 236, 237, 238, 239, 244, 246, 247

Offset: 1

Ray Chandler, Sep 06 2004

nonn

A097759(a(n))=0; A097758(a(n))=-1; A097563(a(n))=-1.

Eric Weisstein's World of Mathematics, Square Number

Cf. A001422, A003995, A033461, A097563, A097757, A097758, A097759.

Offset changed to 1 by Jinyuan Wang, Aug 06 2021

A132415 Integers that can be expressed as the sum of distinct squares in exactly a prime number of ways.

Original entry on oeis.org

25, 26, 29, 30, 41, 45, 46, 49, 50, 53, 54, 61, 62, 66, 69, 70, 75, 77, 79, 81, 82, 84, 85, 86, 87, 89, 91, 93, 94, 95, 98, 99, 100, 102, 103, 104, 107, 109, 110, 113, 116, 118, 119, 123, 125, 129, 131, 133, 136, 137, 140, 142, 143, 144, 145, 148, 149, 151, 152, 154

Offset: 1

Jonathan Vos Post, Nov 12 2007

nonn

Conjecture: Indices of primes in sequence A033461. - Vaclav Kotesovec, Aug 04 2019

Cf. A097757.

{Row 2 of A097757} UNION {Row 3 of A097757} UNION {Row 5 of A097757} UNION {Row 7 of A097757} UNION {Row 11 of A097757} UNION ...

cp's OEIS Frontend

A097758 Greatest integer that can be written as a sum of distinct squares in exactly n ways, or -1 if no such number exists.

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A097759 Number of integers that can be written as a sum of distinct squares in exactly n ways.

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A097760 Index of zero values in A097759; also index of -1 values in A097563 and A097758.

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A132415 Integers that can be expressed as the sum of distinct squares in exactly a prime number of ways.

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