A109753 n^3 mod 8; the periodic sequence {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, 1, 0, 3, 0, 5, 0, 7, 0

Offset

0,4

Links

Table of n, a(n) for n=0..104.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f. = (x+3x^3+5x^5+7x^7)/(1-x^8)

Prog

(Sage) [power_mod(n, 3, 8 ) for n in range(0, 105)] # - Zerinvary Lajos, Oct 29 2009
(PARI) a(n)=n^3%8 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. n mod 8 = A010877; n^2 mod 8 = A070432.

Sequence in context: A086664 A164736 A349343 * A318517 A245494 A167465

Adjacent sequences: A109750 A109751 A109752 * A109754 A109755 A109756

Keyword

easy,nonn

Author

Bruce Corrigan (scentman(AT)myfamily.com), Aug 11 2005

Status

approved