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A060894
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n^8+n^7-n^5-n^4-n^3+n+1.
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2
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1, 1, 331, 8401, 80581, 464881, 1950271, 6568801, 18837001, 47763361, 109889011, 233669041, 465542221, 878077201, 1580623591, 2732936641, 4562284561, 7384587841, 11630180251, 17874821521, 26876632021, 39619660081, 57364832911
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OFFSET
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0,3
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COMMENTS
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a(n) = Phi_30(n) where Phi_k(x) is the k-th cyclotomic polynomial.
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LINKS
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FORMULA
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G.f.: (1-8*x+358*x^2+5374*x^3+16930*x^4+14284*x^5+3238*x^6+142*x^7+x^8)/ (1-x)^9. [Colin Barker, Apr 21 2012]
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MAPLE
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numtheory[cyclotomic](30, n) ;
end proc:
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MATHEMATICA
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Table[n^8+n^7-n^5-n^4-n^3+n+1, {n, 0, 30}] (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 1, 331, 8401, 80581, 464881, 1950271, 6568801, 18837001}, 30] (* Harvey P. Dale, Apr 07 2019 *)
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PROG
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(PARI) { for (n=0, 1000, write("b060894.txt", n, " ", n^8 + n^7 - n^5 - n^4 - n^3 + n + 1); ) } \\ Harry J. Smith, Jul 14 2009
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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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