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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
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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
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..104.
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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, Nov 21 2006
a(n) = mod[n,(5-3(-1)**n)] = mod[n,A010698(n)] - William A. Tedeschi, Mar 06 2008
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PROG
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(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: A175919 A086664 A164736 * A167465 A193356 A071649
Adjacent sequences: A109750 A109751 A109752 * 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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STATUS
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approved
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