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A016759
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a(n) = (2*n + 1)^7.
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7
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1, 2187, 78125, 823543, 4782969, 19487171, 62748517, 170859375, 410338673, 893871739, 1801088541, 3404825447, 6103515625, 10460353203, 17249876309, 27512614111, 42618442977, 64339296875, 94931877133, 137231006679, 194754273881, 271818611107, 373669453125, 506623120463
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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.: (1+x)*(x^6 + 2178*x^5 + 58479*x^4 + 201244*x^3 + 58479*x^2 + 2178*x + 1)/(x-1)^8. - R. J. Mathar, Jul 07 2017
Sum_{n>=0} 1/a(n) = 127*zeta(7)/128.
Sum_{n>=0} (-1)^n/a(n) = 61*Pi^7/184320 (A258814). (End)
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MATHEMATICA
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LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {1, 2187, 78125, 823543, 4782969, 19487171, 62748517, 170859375}, 20] (* Harvey P. Dale, Jul 09 2019 *)
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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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