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Search: id:A156194
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| A156194 |
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Period 12: 1,2,7,1,7,2,1,1,4,2,4,1 repeated. |
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+0
4
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| 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Terms of the simple continued fraction of 1304/(sqrt(1542495)-355). [From Paolo P. Lava (ppl(AT)spl.at), Feb 17 2009]
Also the decimal expansion of 42390704747/333333333333 . - R. J. Mathar, Feb 23 2009
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FORMULA
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Palindromic properties: a(12k+i)=a(12k+6-i), i=0..3. a(12k+7+i)=a(12k+11-i), i=0..2, and similarly for successive differences.
a(n) = A156095(n) mod 9.
a(n) = A156094(n+6) mod 9.
a(4n)+a(4n+1)+a(4n+2)+a(4n+3)=A010850(n).
G.f.: (1+2*x+7*x^2+x^3+7*x^4+2*x^5+x^6+x^7+4*x^8+2*x^9+4*x^10+x^11)/((1-x)*(1+x+x^2)*(1+x)*(1-x+x^2)*(1+x^2)*(x^4-x^2+1)). - R. J. Mathar, Feb 23 2009
a(n)=(1/24)*{(n mod 12)+7*[(n+1) mod 12]-3*[(n+2) mod 12]+5*[(n+3) mod 12]-5*[(n+4) mod 12]+[(n+5) mod 12]+3*[(n+6) mod 12]+11*[(n+7) mod 12]-11*[(n+8) mod 12]+13*[(n+9) mod 12]-9*[(n+10) mod 12]-[(n+11) mod 12]}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Feb 06 2009]
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CROSSREFS
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Sequence in context: A065254 A010592 A096381 this_sequence A021372 A111714 A060302
Adjacent sequences: A156191 A156192 A156193 this_sequence A156195 A156196 A156197
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KEYWORD
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nonn,easy,less
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Feb 05 2009
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2009
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