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Search: id:A056992
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| 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9, 7, 7, 9, 4, 1, 9, 1, 4, 9
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) is also the decimal expansion of 499264730/333333333 [From Barbarel Tres Mil (barbarel3000(AT)yahoo.es), Jul 28 2009]
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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Cyclic with a period of nine. Note that (7, 9, 4, 1, 9, 1, 4, 9, 7) is palindromic.
a(n)=(1/108)*{113*(n mod 9)-79*[(n+1) mod 9]+53*[(n+2) mod 9]+77*[(n+3) mod 9]-7*[(n+4) mod 9]+17*[(n+5) mod 9]+41*[(n+6) mod 9]-43*[(n+7) mod 9]-19*[(n+8) mod 9]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 04 2009]
a(n)=3(1+cos(2n*pi/3)+ cos(4n*pi/3))+mod(3n^4+3n^6+4n^8,9) [From Ant King (mathstutoring(AT)ntlworld.com), Oct 07 2009]
GF: x (1+4x+9x^2+7x^3+7x^4+9x^5+4x^6+x^7+9x^8)/((1-x)(1+x+x^2)(1+x^3+x^6)) [From Ant King (mathstutoring(AT)ntlworld.com), Oct 20 2009]
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CROSSREFS
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Cf. A000290, A056991.
Sequence in context: A018880 A166923 A021205 this_sequence A004159 A092554 A155787
Adjacent sequences: A056989 A056990 A056991 this_sequence A056993 A056994 A056995
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KEYWORD
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nonn,base
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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