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A147818
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Period 4: repeat 5,9,9,5.
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1
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5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 5, 5
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Last digit of the number whose binary representation is the concatenation of n 1's, 2n-1 digits 0 and n 1's.
a(n) is the final digit of A147539(n).
Terms of the simple continued fraction of 838/[5*(197669)-2059]. decimal expansion of 545/909. [From Paolo P. Lava (paoloplava(AT)gmail.com), Aug 05 2009]
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FORMULA
| a(n)=(1/6)*{7*(n mod 4)+13*[(n+1) mod 4]+7*[(n+2) mod 4]+[(n+3) mod 4]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 17 2008]
a(n)=7-(1+I)*I^(n-1)-(1-I)*(-I)^(n-1), with n>=1 and I=sqrt(-1) [From Paolo P. Lava (paoloplava(AT)gmail.com), May 04 2010]
a(n+1) = 7-2*cos(Pi*n/2)+2*sin(Pi*n/2). - R. J. Mathar, Oct 08 2011
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MAPLE
| A010879 := proc(n) n mod 10 ; end:
A147539 := proc(n) 2^n-1+2^(4*n-1)-2^(3*n-1) ; end:
A147818 := proc(n) A010879(A147539(n)) ; end: [From R. J. Mathar, Jan 22 2009]
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CROSSREFS
| Cf. A138120, A147539.
Sequence in context: A063623 A085566 A076390 * A147777 A086731 A147776
Adjacent sequences: A147815 A147816 A147817 * A147819 A147820 A147821
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KEYWORD
| base,easy,nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 14 2008, Jan 25 2009
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 22 2009
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