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Search: id:A095372
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| A095372 |
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1+integers repeating "90" decimal digit pattern:. |
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+0
5
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| 1, 91, 9091, 909091, 90909091, 9090909091, 909090909091, 90909090909091, 9090909090909091, 909090909090909091, 90909090909090909091, 9090909090909090909091, 909090909090909090909091
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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These numbers arise for example as divisors of several repunits (A002275).
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FORMULA
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a(n) = 1+90*(-1+100^n)/99 = (10^(2n+1)+1)/11. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 01 2004
a(n)=[a(n-1)-1]*100+91, with a(0)=1 [From Paolo P. Lava (ppl(AT)spl.at), Oct 21 2008]
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EXAMPLE
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Digit-pattern P=[ab..z] repeating integers equal formally with P*(-1+10^(Ln))/(-1+10^L), where L is the length of pattern;
a(9) divides A002275(38) repunit. See A095371.
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MATHEMATICA
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Table[1+90*(100^n-1)/99, {n, 0, 20}]
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CROSSREFS
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Cf. A002275, A095371.
Cf. A015585, A097209, A001562, A054416.
Sequence in context: A006244 A054216 A109627 this_sequence A165154 A015261 A131442
Adjacent sequences: A095369 A095370 A095371 this_sequence A095373 A095374 A095375
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KEYWORD
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easy,nonn,base
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 07 2004
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