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A017331
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a(n) = (10*n + 5)^3.
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1
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125, 3375, 15625, 42875, 91125, 166375, 274625, 421875, 614125, 857375, 1157625, 1520875, 1953125, 2460375, 3048625, 3723875, 4492125, 5359375, 6331625, 7414875, 8615125, 9938375, 11390625, 12977875, 14706125, 16581375, 18609625, 20796875, 23149125, 25672375
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 125*(x+1)*(x^2 + 22*x + 1)/(x-1)^4. - Colin Barker, Nov 14 2012
Sum_{n>=0} 1/a(n) = 7*zeta(3)/1000.
Sum_{n>=0} (-1)^n/a(n) = Pi^3/4000. (End)
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MATHEMATICA
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Table[(10*n + 5)^3, {n, 0, 30}] (* Amiram Eldar, Apr 18 2023 *)
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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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