A001948 These numbers when multiplied by all powers of 4 give the numbers that are not the sums of 4 distinct squares.

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 15, 17, 18, 19, 22, 23, 25, 27, 31, 33, 34, 37, 43, 47, 55, 58, 67, 73, 82, 97, 103

Offset: 1

Author

N. J. A. Sloane, Dan Hoey

Keywords

• nonn
• fini
• full

Comments

See also the comment in sequence A004437: The only integers that cannot be partitioned into a sum of four distinct squares of nonnegative integers are 4^k x (A union B) where A = {1,3,5,7,9,11,13,15,17,19,23,25,27,31,33,37,43,47,55,67,73,97,103} and B = {2,6,10,18,22,34,58,82}. - M. F. Hasler, Jun 11 2014

Links

• Gordon Pall, On Sums of Squares, The American Mathematical Monthly, Vol. 40, No. 1, (January 1933), pp. 10-18.
• Index entries for sequences related to sums of squares

Crossrefs

Cf. A001944, A004437.