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Search: id:A109753
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| A109753 |
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n^3 mod 8; the periodic sequence {0,1,0,3,0,5,0,7}. |
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+0
1
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| 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0, 1, 0, 3, 0, 5, 0, 7, 0
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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G.f. = (x+3x^3+5x^5+7x^7)/(1-x^8)
a(n)=1/56*{53*(n mod 8)-45*[(n+1) mod 8]+39*[(n+2) mod 8]-31*[(n+3) mod 8]+25*[(n+4) mod 8]-17*[(n+5) mod 8]+11*[(n+6) mod 8]-3*[(n+7) mod 8]} - Paolo P. Lava (ppl(AT)spl.at), Nov 21 2006
a(n) = mod[n,(5-3(-1)**n)] = mod[n,A010698(n)] - William A. Tedeschi (fynmun(AT)hotmail.com), Mar 06 2008
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PROGRAM
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(Other) sage: [power_mod(n, 3, 8 )for n in xrange(0, 105)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 29 2009]
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CROSSREFS
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Cf. n mod 8 = A010877; n^2 mod 8 = A070432.
Sequence in context: A004605 A086664 A164736 this_sequence A167465 A071649 A049283
Adjacent sequences: A109750 A109751 A109752 this_sequence A109754 A109755 A109756
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KEYWORD
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easy,nonn
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AUTHOR
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Bruce Corrigan (scentman(AT)myfamily.com), Aug 11 2005
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