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%I #26 Jun 09 2022 09:06:53
%S 7,19,293,1493,179,1091,10593529,379721,165664841,66987982331,
%T 240717199,28048051,133933781,25506609089573701,107140256350247,
%U 793435901761,268232479553269300213,4075297,3063504618316968426599,1372263056872621,7514001866134191512025247
%N Largest prime factor of n^n - n^(n-1) - n^(n-2) - ... - n^2 - n - 1.
%H Daniel Suteu and Harvey P. Dale, <a href="/A191624/b191624.txt">Table of n, a(n) for n = 3..72</a> (terms 3..52 from Harvey P. Dale)
%F a(n) = A006530(A191690(n)).
%p A006530 := proc(n) max ( numtheory[factorset](n) ) ;end proc:
%p A191690 := proc(n) n^n-add( n^j,j=0..n-1) ;end proc:
%p A191624 := proc(n) A006530(A191690(n)) ; end proc:
%p seq(A191624(n),n=3..15) ; # _R. J. Mathar_, Jun 23 2011
%t Table[With[{s=n^Range[0,n]},FactorInteger[Last[s]-Total[Most[s]]][[-1,1]]],{n,3,20}] (* _Harvey P. Dale_, Feb 02 2015 *)
%o (PARI) a(n) = if(n==0, return(1)); vecmax(factor(n^n - (n^n-1)/(n-1))[,1]); \\ _Daniel Suteu_, Jun 09 2022
%Y Cf. A006530, A191690.
%K nonn
%O 3,1
%A _Juri-Stepan Gerasimov_, Jun 12 2011
%E More terms from _Harvey P. Dale_, Feb 02 2015
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