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A241031
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Sum of n-th powers of divisors of 28.
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2
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6, 56, 1050, 25112, 655746, 17766056, 489541650, 13599182072, 379283617986, 10599157616456, 296486304875250, 8297561014164632, 232274972859656226, 6502905234227329256, 182070232515259616850, 5097810928082584052792
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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.: 2*(3 - 140*x + 2086*x^2 - 12360*x^3 + 29204*x^4 - 21952*x^5)/((1 - x)*(1 - 2*x)*(1 - 4*x)*(1 - 7*x)*(1 - 14*x)*(1 - 28*x)).
a(n) = (4^n + 2^n + 1)*(7^n + 1).
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MATHEMATICA
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Total[#^Range[0, 20] & /@ Divisors[28]] (* or *) Table[(4^n + 2^n + 1) (7^n + 1), {n, 0, 20}]
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PROG
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(Magma) [DivisorSigma(n, 28): n in [0..20]]; /* or */ [(4^n+2^n+1)*(7^n+1): n in [0..20]];
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CROSSREFS
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Cf. similar sequence listed in A241029.
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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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