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A243132
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32*n^6 - 48*n^4 + 18*n^2 - 1.
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3
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-1, 1, 1351, 19601, 119071, 470449, 1431431, 3650401, 8193151, 16692641, 31521799, 55989361, 94558751, 153090001, 239104711, 362074049, 533729791, 768398401, 1083358151, 1499219281, 2040327199, 2735188721, 3616921351, 4723725601, 6099380351, 7793761249
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OFFSET
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0,3
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COMMENTS
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Chebyshev polynomial of the first kind T(6,n).
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LINKS
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FORMULA
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G.f.: (-1 + 8*x + 1323*x^2 + 10200*x^3 + 10165*x^4 + 1344*x^5 + x^6)/(1 - x)^7.
a(n) = (2*n^2 - 1)*(16*n^4 - 16*n^2 + 1).
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MATHEMATICA
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Table[ChebyshevT[6, n], {n, 0, 40}] (* or *) Table[32 n^6 - 48 n^4 + 18 n^2 - 1, {n, 0, 20}]
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PROG
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(Magma) [32*n^6-48*n^4+18*n^2-1: n in [0..40]];
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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