A375744 Numbers that are the sum of 4 but no fewer nonzero squares and admit a representation with 4 distinct squares.

39, 63, 71, 79, 87, 95, 111, 119, 127, 135, 143, 151, 156, 159, 167, 175, 183, 191, 199, 207, 215, 223, 231, 239, 247, 252, 255, 263, 271, 279, 284, 287, 295, 303, 311, 316, 319, 327, 335, 343, 348, 351, 359, 367, 375, 380, 383, 391, 399, 407, 415, 423, 431

Offset: 1

Author

Gonzalo Martínez, Aug 26 2024

Keywords

• nonn

Comments

Intersection of A004215 and A004433.

Examples

			39 is a term, since it requires 4 squares to be represented and admits the representation 39 = 5^2 + 3^2 + 2^2 + 1^2.
30 is not a term, although it can be represented as a sum of 4 different squares 30 = 4^2+ 3^2 + 2^2 + 1^2 also admits a representation as a sum of 3 squares: 30 = 5^2 + 2^2 + 1^2.
7 is not a term, since although it requires 4 squares to be represented as follows 7 = 2^2 + 1^2 + 1^2 + 1^2, it is noted that 1 is used on more than one occasion.
		

Crossrefs

Cf. A004215, A004433.