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A001948 These numbers when multiplied by all powers of 4 give the numbers that are not the sums of 4 distinct squares. 2
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 (list; graph; refs; listen; history; text; internal format)
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 A189529

Adjacent sequences:  A001945 A001946 A001947 * A001949 A001950 A001951

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Dan Hoey

STATUS

approved

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Last modified September 17 06:52 EDT 2019. Contains 327119 sequences. (Running on oeis4.)