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A133499
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a(n) = n^7 - n.
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5
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0, 0, 126, 2184, 16380, 78120, 279930, 823536, 2097144, 4782960, 9999990, 19487160, 35831796, 62748504, 105413490, 170859360, 268435440, 410338656, 612220014, 893871720, 1279999980, 1801088520, 2494357866, 3404825424, 4586471400, 6103515600, 8031810150
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OFFSET
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0,3
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COMMENTS
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All the terms are divisible by 3.
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LINKS
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FORMULA
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G.f.: 42*x^2*(3+28*x+58*x^2+28*x^3+3*x^4) / (x-1)^8 . - R. J. Mathar, Mar 13 2015
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EXAMPLE
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If n=2, then n^7 - n = 126.
If n=13, then n^7 - n = 62748504.
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MATHEMATICA
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Table[n^7 - n, {n, 0, 40}] (* and *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 0, 126, 2184, 16380, 78120, 279930, 823536}, 40] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2012 *)
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PROG
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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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EXTENSIONS
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STATUS
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approved
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