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A085320
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First difference sequence of A003349, i.e., consecutive differences between those consecutive numbers which are sums of four 5th powers.
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0
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31, 31, 31, 31, 118, 31, 31, 31, 149, 31, 31, 180, 31, 211, 55, 31, 31, 31, 149, 31, 31, 180, 31, 211, 297, 31, 31, 180, 31, 211, 539, 31, 24, 31, 31, 31, 94, 55, 31, 31, 180, 31, 211, 242, 55, 31, 31, 180, 31, 211, 539, 31, 211, 781, 55, 31, 31, 180, 31, 211, 539, 31
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OFFSET
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1,1
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LINKS
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EXAMPLE
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35 = 1 + 1 + 1 + 32, 66 = 32 + 32 + 1 + 1, a(1) = 66 - 33 = 31.
Certain differences occur rather consequently like 31, 55, 113, 180, 207, 211, 539, etc.;
Distance of closest observed neighbors equals 2 like those of 33858 and 33856.
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MATHEMATICA
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{m=12, k=5, m^k}; t=Union[Flatten[Table[Table[Table[Table[w^k+q^k+t^k+u^k, {w, 1, m}], {q, 1, m}], {t, 1, m}], {u, 1, m}]]]; Length[t]; dt=Delete[ -RotateRight[t]+t, 1]; Sort[dt]
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CROSSREFS
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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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