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A217576 sum( d divides n, (d!)^(n/d) ). 0

%I

%S 1,3,7,29,121,765,5041,40913,363097,3643233,39916801,479535185,

%T 6227020801,87203692929,1307676103777,20924415922433,355687428096001,

%U 6402505760917569,121645100408832001,2432915176581403649,51090942299733783937,1124002321128529922049

%N sum( d divides n, (d!)^(n/d) ).

%F G.f.: Sum_{n>=1} n!*x^n / (1 - n!*x^n). - _Paul D. Hanna_, Jan 17 2013

%o (PARI) a(n)=sumdiv(n,d, (d!)^(n/d) );

%Y Cf. A062363 ( sum( d divides n, d!) ).

%Y Cf. A062796 ( sum( d divides n, d^d) ), A066108 ( sum( d divides n, n^d) ).

%K nonn

%O 1,2

%A _Joerg Arndt_, Oct 07 2012

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Last modified June 12 22:42 EDT 2021. Contains 344975 sequences. (Running on oeis4.)