

A063949


Of course every number is the sum of 4 squares; for these numbers the first square can be taken to be any positive square < n.


6



0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 15, 17, 18, 20, 21, 22, 25, 26, 28, 30, 33, 34, 36, 38, 41, 42, 45, 46, 49, 50, 52, 54, 57, 58, 60, 62, 65, 66, 68, 70, 73, 74, 78, 81, 82, 84, 86, 89, 90, 94, 97, 98, 100, 102, 105, 106, 110, 114, 118, 122, 126, 129, 130
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OFFSET

1,3


COMMENTS

The only primes of this form are 2, 3, 5, 7, 13, 17, 41, 73, 89, 97, 257, 313, 353, 433.


REFERENCES

J. H. Conway, personal communication, Aug 27, 2001.


LINKS

T. D. Noe, Table of n, a(n) for n = 1..1109 (numbers < 4000)


FORMULA

Consists of 0, the 54 odd numbers in A063951, 4 times those numbers and all numbers of the form 4m+2.


MATHEMATICA

t1 = {1, 3, 5, 7, 9, 13, 15, 17, 21, 25, 33, 41, 45, 49, 57, 65, 73, 81, 89, 97, 105, 129, 145, 153, 169, 177, 185, 201, 209, 217, 225, 257, 273, 297, 305, 313, 329, 345, 353, 385, 425, 433, 441, 481, 513, 561, 585, 609, 689, 697, 713, 817, 825, 945}; Union[{0}, t1, 4*t1, 4*Range[0, 999] + 2] (* T. D. Noe, Feb 22 2012 *)


CROSSREFS

Cf. A063950A063954.
Sequence in context: A039271 A039163 A125299 * A073518 A144769 A165737
Adjacent sequences: A063946 A063947 A063948 * A063950 A063951 A063952


KEYWORD

nonn,easy,nice


AUTHOR

N. J. A. Sloane, Sep 04 2001


STATUS

approved



