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A055039 Numbers of the form 2^(2i+1)*(8*j+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 (list; graph; refs; listen; history; text; internal format)
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 face-centered cubic lattice (cf. A004015).

Numbers whose base 4 representation ends in 3,2 followed by some number of zeros. - Franklin T. Adams-Watters, Dec 04 2006

REFERENCES

L. E. Dickson, Integers represented by positive ternary quadratic forms, Bull. Amer. Math. Soc., 33 (1927) 63-70. [http://projecteuclid.org/euclid.bams/1183491956]

L. J. Mordell, A new Waring's problem with squares of linear forms, Quart. J. Math., 1 (1930), 276-288 (see p. 283).

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

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

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Last modified February 21 07:18 EST 2018. Contains 299390 sequences. (Running on oeis4.)