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Search: id:A062796
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| 1, 5, 28, 261, 3126, 46688, 823544, 16777477, 387420517, 10000003130, 285311670612, 8916100495200, 302875106592254, 11112006826381564, 437893890380862528, 18446744073726329093, 827240261886336764178
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Nick Hobson, Table of n, a(n) for n = 1..200
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FORMULA
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a(n)=Sum{d^d}, d|n
G.f.: Sum_{n>=1} n^n * x^n/(1 - x^n). [From Paul D. Hanna (pauldhanna(AT)juno.com), Oct 27 2009]
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EXAMPLE
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n=6, divisors={1,2,3,6} 1^1+2^2+3^3+6^6=1+4+27+46656=46688=a(6)
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PROGRAM
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(PARI) vector(17, n, sumdiv(n, d, d^d))
(PARI) {a(n)=polcoeff(sum(m=1, n, m^m*x^m/(1-x^m +x*O(x^n))), n)} [From Paul D. Hanna (pauldhanna(AT)juno.com), Oct 27 2009]
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CROSSREFS
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A000312.
Sequence in context: A121674 A116977 A163694 this_sequence A023887 A171187 A057792
Adjacent sequences: A062793 A062794 A062795 this_sequence A062797 A062798 A062799
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 19 2001
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