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A020516
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Sum of n-th powers of divisors of 64.
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2
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7, 127, 5461, 299593, 17895697, 1108378657, 69810262081, 4432676798593, 282578800148737, 18049651735527937, 1154048505100108801, 73823022692637345793, 4723519685917965029377, 302268352895954163081217
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OFFSET
| 0,1
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COMMENTS
| 7th cyclotomic polynomial evaluated at powers of 2.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..200
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FORMULA
| G.f.: (-7+762 x-26670 x^2+377952 x^3-2267712 x^4+5462016 x^5-4161536 x^6)/(-1+127 x-5334 x^2+94488 x^3-755904 x^4+2731008 x^5-4161536 x^6+2097152 x^7) [From Harvey P. Dale, Mar 21 2011]
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MAPLE
| with(numtheory, cyclotomic):seq(cyclotomic(7, 2^i), i=0..24);
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MATHEMATICA
| Total[#^Range[0, 15]&/@Divisors[64]] (* From Harvey P. Dale, Mar 21 2011 *)
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CROSSREFS
| Sequence in context: A002067 A138523 A034670 * A077585 A134722 A053713
Adjacent sequences: A020513 A020514 A020515 * A020517 A020518 A020519
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KEYWORD
| nonn
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
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