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Search: id:A142069
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| A142069 |
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Period length 9: repeat 3, 7, 2, 6, 1, 5, 0, 4, 8 . |
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+0
4
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| 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The period contains all digits from 0 to 8 and is a permutation of A141726.
Also the continued fractions of (13475+sqrt(212576401))/8952 and the decimal expansion of 414016720/111111111.
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FORMULA
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a(n)= A141694(n) mod 9 .
a(n)= a(n-9). G.f.: -x*(3+7*x+2*x^2+6*x^3+x^4+5*x^5+4*x^7+8*x^8)/((x-1)*(1+x+x^2)*(x^6+x^3+1)).
a(n)=(1/3)*{2*(n mod 9)-[(n+1) mod 9]-[(n+2) mod 9]+2*[(n+3) mod 9]-[(n+4) mod 9]+2*[(n+5) mod 9]-[(n+6) mod 9]+2*[(n+7) mod 9]-[(n+8) mod 9]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Sep 19 2008]
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CROSSREFS
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Sequence in context: A016618 A130789 A023529 this_sequence A159759 A163917 A063041
Adjacent sequences: A142066 A142067 A142068 this_sequence A142070 A142071 A142072
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KEYWORD
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nonn,easy
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Sep 14 2008
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EXTENSIONS
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Edited for readability - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 11 2009
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