

A158937


Numbers of the form x^2+3y^2 where x and y are positive integers (with repetitions).


1



4, 7, 12, 13, 16, 19, 21, 28, 28, 28, 31, 36, 37, 39, 43, 48, 49, 52, 52, 52, 57, 61, 63, 64, 67, 73, 76, 76, 76, 79, 84, 84, 84, 91, 91, 93, 97, 100, 103, 108, 109, 111, 112, 112, 112, 117, 124, 124, 124, 127, 129, 133, 133, 139, 144, 147, 148, 148, 148, 151, 156, 156, 156, 157, 163, 169, 171, 172, 172, 172, 175, 181, 183, 189, 192, 193, 196, 196, 196, 196, 199, 201, 208, 208, 208, 211, 217, 217, 219, 223, 228, 228, 228, 229, 237, 241, 244, 244, 244, 247
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OFFSET

1,1


COMMENTS

Least integer m with exactly n repetitions, {m,n}: {4,1},{91,2},{28,3},{196,4},{31213,5},{364,6}, {9604,7},{53599,8},{2548,9},{470596,10}.
This is an important quadratic form with a small determinant, so a list of its values with repetition is of interest.  N. J. A. Sloane, Apr 02 2011


LINKS

Table of n, a(n) for n=1..100.


EXAMPLE

m=28: {x,y}={5,1},{4,2},{1,3}.


CROSSREFS

Cf. A092572 Numbers of the form x^2+3y^2 where x and y are positive integers.
Sequence in context: A083487 A253129 A249918 * A092572 A092574 A310769
Adjacent sequences: A158934 A158935 A158936 * A158938 A158939 A158940


KEYWORD

nonn


AUTHOR

Zak Seidov, Mar 26 2011


STATUS

approved



