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Search: id:A055039
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| A055039 |
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Numbers of the form 2^(2i+1)*(8*j+7). |
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+0
8
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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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
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REFERENCES
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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).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
Steve Waterman, Missing numbers formula
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FORMULA
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Consists of numbers of the form 6x^2 + 8x^2(2y -1). (Steve Waterman).
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CROSSREFS
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Equals twice A004215. Not the same as A044075 - see A124169.
Complement of A000401.
Sequence in context: A155480 A053751 A063311 this_sequence A044075 A044456 A132759
Adjacent sequences: A055036 A055037 A055038 this_sequence A055040 A055041 A055042
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jun 01 2000
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