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Search: id:A064854
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| A064854 |
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Mod[Mod[Mod[5^n,4^n],3^n],2^n] |
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+0
2
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| 1, 0, 7, 0, 21, 37, 118, 56, 19, 428, 808, 3920, 2256, 15240, 28312, 46733, 128931, 251439, 434788, 645833, 1397733, 1179155, 7185704, 1551886, 33308648, 65879944, 121274199, 65829274, 228529703, 248939750, 799831532, 2835988891
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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A generalization of A002380 and A064536. It arises also as a coefficient (=c1) of 1^n=1 in a special (greedy) decomposition of 5^n into like powers as follows: 5^n=c4*4^n+c3*3^n+c2*2^n+c1*1^n.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
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n = 7: 5^7 = 78125 =4*[16384]+5*[2187]+12*[128]+118*[1], where a(7)=118, the last coefficient.
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PROGRAM
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(PARI) { for (n=1, 200, a=((5^n%4^n)%3^n)%2^n; write("b064854.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 28 2009]
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CROSSREFS
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A002380, A064536, A064855, A060692, A064628-A064631.
Sequence in context: A067152 A052440 A167299 this_sequence A157779 A046273 A167317
Adjacent sequences: A064851 A064852 A064853 this_sequence A064855 A064856 A064857
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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), Oct 08 2001
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