A001948 - OEIS

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

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OFFSET

1,2

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

Table of n, a(n) for n=1..31.

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.

Sequence in context: A192189 A285375 A321372 * A121912 A325113 A328393

Adjacent sequences: A001945 A001946 A001947 * A001949 A001950 A001951

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Dan Hoey

STATUS

approved