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A054605
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a(n) = Sum_{d|6} phi(d)*n^(6/d).
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2
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0, 6, 84, 780, 4200, 15810, 46956, 118104, 262800, 532350, 1001220, 1773156, 2988024, 4829370, 7532700, 11394480, 16781856, 24143094, 34018740, 47053500, 64008840, 85776306, 113391564, 148049160, 191118000, 244157550, 308934756
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: -6*x*(10*x^4+49*x^3+53*x^2+7*x+1) / (x-1)^7. - Colin Barker, Dec 21 2012
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MATHEMATICA
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Table[n^6+n^3+2n^2+2n, {n, 0, 30}] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 6, 84, 780, 4200, 15810, 46956}, 30] (* Harvey P. Dale, Mar 11 2023 *)
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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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