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A229461
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Numbers n such that there is no convex pentagon that can be decomposed into n pairwise congruent regular equilateral triangles.
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3
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1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 16, 18, 21, 22, 24, 25, 30, 33, 37, 40, 42, 45, 48, 57, 58, 70, 72, 78, 85, 88, 93, 102, 105, 120, 130, 133, 165, 168, 177, 190, 210, 232, 253, 273, 280, 312, 330, 345, 357, 385, 408, 462, 520, 760, 840, 1320, 1365, 1848
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OFFSET
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1,2
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COMMENTS
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Conjecture: These 59 numbers are all such exceptions.
Terms are idoneal numbers (A000926) except for the six terms of A229462.
Numbers k not expressible as k = x^2 - y^2 - z^2 with x,y,z >= 1 and x > y+z.
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LINKS
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CROSSREFS
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Cf. A000926 (idoneal numbers), A229462 (idoneal numbers not in this sequence), A229757 (hexagon exception numbers), A025052 (numbers not of form a*b+b*c+c*a).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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