A158937 Numbers of the form x^2+3y^2 where x and y are positive integers (with repetitions).

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

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: A253129 A249918 A340244 * A092572 A344159 A092574

Adjacent sequences: A158934 A158935 A158936 * A158938 A158939 A158940

Keyword

nonn

Author

Zak Seidov, Mar 26 2011

Status

approved