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A109241
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Expansion of 1/((1-10x)(1-100x)).
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5
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1, 110, 11100, 1111000, 111110000, 11111100000, 1111111000000, 111111110000000, 11111111100000000, 1111111111000000000, 111111111110000000000, 11111111111100000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n) has n+1 1's and n 0's. Partial sums are A109242.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (110,-1000)
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FORMULA
| a(n)=10^(2n+1)/9-10^n/9.
a(n)= A006516(n+1) written in base 2. - Omar E. Pol (info(AT)polprimos.com), Feb 24 2008
a(n)= A138147(n+1)/10. [From Omar E. Pol (info(AT)polprimos.com), Nov 08 2008]
a(n) = 110*a(n-1) -1000*a(n-2), n>=2. - Vincenzo Librandi, Mar 18 2011
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MAPLE
| A109241 := proc(n)(10^(2*n+1)-10^n)/9 ; end proc:
seq(A109241(n), n=0..20) ; # R. J. Mathar, Mar 21 2011
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CROSSREFS
| Cf. A006516.
Cf. A138147. [From Omar E. Pol (info(AT)polprimos.com), Nov 08 2008]
Sequence in context: A163664 A135645 A058935 * A090490 A135650 A193240
Adjacent sequences: A109238 A109239 A109240 * A109242 A109243 A109244
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jun 23 2005
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