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A010689
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Periodic sequence: Repeat 1, 8.
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4
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1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1, 8, 1
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Also the digital root of 8^n. Also the decimal expansion of 2/11. - Cino Hilliard (hillcino368(AT)gmail.com), Dec 31 2004
Interleaving of A000012 and A010731. [From Klaus Brockhaus, Apr 02 2010]
Continued fraction expansion of (2+Sqrt(6))/4. [From Klaus Brockhaus, Apr 02 2010]
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FORMULA
| G.f. : (1+8x)/((1-x)(1+x)); a(n)=(9-7(-1)^n)/2; a(n)=8^(ceiling(n/2)-floor(n/2)); a(n)=gcd((n-1)^3, (n+1)^3). - Paul Barry (pbarry(AT)wit.ie), Sep 16 2004
a(n)=-7/2*(-1)^n+9/2 a(n)=8*(n mod 2)+(n+1) mod 2 - Paolo P. Lava (paoloplava(AT)gmail.com), Oct 20 2006
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PROG
| (Other) sage: [power_mod(8, n, 9)for n in xrange(0, 105)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 27 2009]
(MAGMA) &cat[ [1, 8]: n in [0..52] ]; [From Klaus Brockhaus, Apr 02 2010]
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CROSSREFS
| Cf. A000012 (all 1's sequence), A010731 (all 8's sequence), A174925 (decimal expansion of (2+sqrt(6))/4). [From Klaus Brockhaus, Apr 02 2010]
Sequence in context: A154460 A021554 A021059 * A070637 A070651 A010519
Adjacent sequences: A010686 A010687 A010688 * A010690 A010691 A010692
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KEYWORD
| nonn,cofr,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Definition edited and keywords cons, cofr added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 02 2010
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