Search: id:A064855
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%I A064855
%S A064855 1,2,0,14,16,10,66,21,321,917,2037,1550,2420,15152,27439,46731,110953,
%T A064855 137148,336949,703202,805647,181132,5835407,3343039,21816283,18528238,
%U A064855 95129681,241918238,311938330,48698222,1539688558,3481498150
%N A064855 Mod[Mod[Mod[Mod[6^n, 5^n], 4^n], 3^n], 2^n].
%C A064855 A generalization of A002380, A064536 and A064854. It arises also as a 
               coefficient (=c1) of 1^n=1 in a special (greedy) decomposition of 
               6^n into like powers as follows: 6^n=c5*5^n+c4*4^n+c3*3^n+c2*2^n+c1*1^n.
%H A064855 Harry J. Smith, <a href="b064855.txt">Table of n, a(n) for n=1,...,200</
               a>
%F A064855 n = 8: 6^8 = 1679616 =4*[390625]+1*[65536]+7*[6561]+22*[256]+21*[1] where 
               a(8)=21, the last coefficient and here 6^8 is decomposed into 4+1+7+22+21=55 
               like(8th) powers.
%o A064855 (PARI) { for (n=1, 200, a=(((6^n%5^n)%4^n)%3^n)%2^n; write("b064855.txt", 
               n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), 
               Sep 28 2009]
%Y A064855 Cf. A002380, A064536, A064854, A064855, A060692, A064628-A064631.
%Y A064855 Sequence in context: A107700 A122688 A110685 this_sequence A088504 A074031 
               A086261
%Y A064855 Adjacent sequences: A064852 A064853 A064854 this_sequence A064856 A064857 
               A064858
%K A064855 nonn
%O A064855 1,2
%A A064855 Labos E. (labos(AT)ana.sote.hu), Oct 08 2001

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