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A047892 a(1) = 2; for n > 0, a(n+1) = a(n) * sum of digits of a(n).

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%I A047892 #19 Feb 16 2024 10:10:17
%S A047892 2,4,16,112,448,7168,157696,5361664,166211584,5651193856,276908498944,
%T A047892 19383594926080,1298700860047360,79220752462888960,
%U A047892 6733763959345561600,592571228422409420800,45035413360103115980800
%N A047892 a(1) = 2; for n > 0, a(n+1) = a(n) * sum of digits of a(n).
%C A047892 a(n) mod 9 = A010712(n-1) for n > 1. - _Reinhard Zumkeller_, Sep 23 2007
%H A047892 Reinhard Zumkeller, <a href="/A047892/b047892.txt">Table of n, a(n) for n = 1..250</a>
%F A047892 a(n+1) = A057147(a(n)). - _Reinhard Zumkeller_, Mar 19 2014
%t A047892 NestList[# Total[IntegerDigits[#]]&,2,20] (* _Harvey P. Dale_, Jul 18 2011 *)
%o A047892 (Haskell)
%o A047892 a047892 n = a047892_list !! (n-1)
%o A047892 a047892_list = iterate a057147 2  -- _Reinhard Zumkeller_, Mar 19 2014
%Y A047892 Cf. A004207.
%Y A047892 Cf. A007953.
%Y A047892 Cf. A047912 (start=3), A047897 (start=5), A047898 (start=6), A047899 (start=7), A047900 (start=8), A047901 (start=9), A047902 (start=11).
%K A047892 nonn,base,easy,nice
%O A047892 1,1
%A A047892 Miklos SZABO (mike(AT)ludens.elte.hu)
%E A047892 Offset changed by _Reinhard Zumkeller_, Mar 19 2014