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

1,1

Comments

Intersection of A004215 and A004433.

Links

Table of n, a(n) for n=1..53.

Example

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.

Sequence in context: A043176 A043956 A090876 * A165461 A020166 A046448

Adjacent sequences: A375741 A375742 A375743 * A375745 A375746 A375747

Keyword

nonn

Author

Gonzalo Martínez, Aug 26 2024

Status

approved