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A016748
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a(n) = (2*n)^8.
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1
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0, 256, 65536, 1679616, 16777216, 100000000, 429981696, 1475789056, 4294967296, 11019960576, 25600000000, 54875873536, 110075314176, 208827064576, 377801998336, 656100000000, 1099511627776, 1785793904896, 2821109907456, 4347792138496, 6553600000000, 9682651996416
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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.: 256*x*(1+x)*(x^6 + 246*x^5 + 4047*x^4 + 11572*x^3 + 4047*x^2 + 246*x + 1) / (1-x)^9. - R. J. Mathar, May 01 2015
Sum_{n>=1} 1/a(n) = Pi^8/2419200.
Sum_{n>=1} (-1)^(n+1)/a(n) = 127*Pi^8/309657600. (End)
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MAPLE
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MATHEMATICA
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(2*Range[0, 20])^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 256 , 65536, 1679616, 16777216, 100000000, 429981696, 1475789056, 4294967296}, 20] (* Harvey P. Dale, Jun 14 2016 *)
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PROG
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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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