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A133071
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a(n) = n^5 - n^3 + n^2.
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6
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0, 1, 28, 225, 976, 3025, 7596, 16513, 32320, 58401, 99100, 159841, 247248, 369265, 535276, 756225, 1044736, 1415233, 1884060, 2469601, 3192400, 4075281, 5143468, 6424705, 7949376, 9750625, 11864476, 14329953, 17189200, 20487601, 24273900, 28600321, 33522688, 39100545, 45397276
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OFFSET
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0,3
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COMMENTS
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Exponents are prime numbers in decreasing order.
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LINKS
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FORMULA
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a(n) = n^5 - n^3 + n^2.
G.f.: x*(1 + 22*x + 72*x^2 + 26*x^3 - x^4)/(1-x)^6. - R. J. Mathar, Nov 14 2007
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EXAMPLE
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a(7)=16513 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807-343+49=16513.
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MATHEMATICA
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Table[n^5 - n^3 + n^2, {n, 0, 50}] (* G. C. Greubel, Oct 20 2017 *)
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PROG
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(PARI) for(n=0, 50, print1(n^5 - n^3 + n^2, ", ")) \\ G. C. Greubel, Oct 20 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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