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A055052
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Numbers of the form 4^i*(8j+7) or 4^i*(8j+5).
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1
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5, 7, 13, 15, 20, 21, 23, 28, 29, 31, 37, 39, 45, 47, 52, 53, 55, 60, 61, 63, 69, 71, 77, 79, 80, 84, 85, 87, 92, 93, 95, 101, 103, 109, 111, 112, 116, 117, 119, 124, 125, 127, 133, 135, 141, 143, 148, 149, 151, 156, 157, 159, 165, 167, 173, 175
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OFFSET
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1,1
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COMMENTS
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Numbers not of the form x^2+2y^2+8z^2.
The integers that are ratios between the terms constitute the sequence's complement within A003159. - Peter Munn, Feb 07 2024
The asymptotic density of this sequence is 1/3. - Amiram Eldar, Feb 09 2024
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LINKS
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MATHEMATICA
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Select[Range[200], MemberQ[{5, 7}, Mod[# / 4^IntegerExponent[#, 4], 8]] &] (* Amiram Eldar, Feb 09 2024 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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