

A055039


Numbers of the form 2^(2i+1)*(8j+7).


8



14, 30, 46, 56, 62, 78, 94, 110, 120, 126, 142, 158, 174, 184, 190, 206, 222, 224, 238, 248, 254, 270, 286, 302, 312, 318, 334, 350, 366, 376, 382, 398, 414, 430, 440, 446, 462, 478, 480, 494, 504, 510, 526, 542, 558, 568, 574, 590, 606, 622
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OFFSET

1,1


COMMENTS

The numbers not of the form x^2+y^2+2z^2.
These are the numbers not occurring as norms in the facecentered cubic lattice (cf. A004015).
Numbers whose base 4 representation ends in 3,2 followed by some number of zeros.  Franklin T. AdamsWatters, Dec 04 2006


LINKS

T. D. Noe, Table of n, a(n) for n=1..10000
L. E. Dickson, Integers represented by positive ternary quadratic forms, Bull. Amer. Math. Soc. 33 (1927), 6370.
L. J. Mordell, A new Waring's problem with squares of linear forms, Quart. J. Math., 1 (1930), 276288 (see p. 283).
Steve Waterman, Missing numbers formula


FORMULA

Consists of numbers of the form 6x^2 + 8x^2*(2y 1). (Steve Waterman).


CROSSREFS

Equals twice A004215. Not the same as A044075  see A124169.
Complement of A000401.
Sequence in context: A230720 A053751 A063311 * A044075 A044456 A132759
Adjacent sequences: A055036 A055037 A055038 * A055040 A055041 A055042


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jun 01 2000


STATUS

approved



