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A224440
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a(n) = sigma(n)^(n-1).
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2
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1, 3, 16, 343, 1296, 248832, 262144, 170859375, 815730721, 198359290368, 61917364224, 8293509467471872, 56693912375296, 876488338465357824, 21035720123168587776, 23465261991844685929951, 121439531096594251776, 1117116121846700839825703079, 262144000000000000000000
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OFFSET
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1,2
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COMMENTS
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Here sigma(n) = A000203(n) is the sum of the divisors of n.
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LINKS
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FORMULA
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EXAMPLE
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L.g.f.: L(x) = x + 3^1*x^2/2 + 4^2*x^3/3 + 7^3*x^4/4 + 6^4*x^5/5 + 12^5*x^6/6 +...
where exponentiation yields the g.f. of A224439:
exp(L(x)) = 1 + x + 2*x^2 + 7*x^3 + 93*x^4 + 357*x^5 + 41927*x^6 +...
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PROG
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(PARI) {a(n)=sigma(n)^(n-1)}
for(n=1, 20, print1(a(n), ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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