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Search: id:A100062
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| A100062 |
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Denominator of the probability that an integer n occurs in the cumulative sums of the decimal digits of a random real number between 0 and 1. |
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+0
2
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| 9, 81, 729, 6561, 59049, 531441, 4782969, 43046721, 387420489, 3486784401, 31381059609, 282429536481, 2541865828329, 22876792454961, 205891132094649, 1853020188851841, 16677181699666569, 150094635296999121
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Essentially the same as A001019 = powers of 9.
Also number of n-digit positive integers with no identical adjacent digits. Hence the numerator (with A052268 as denominator) of the probability that an n-digit positive integer has this property (e.g., 9/9, 81/90, 729/900, ..., where A100062(n)/A052268(n) reduces to A001019(n-1)/A011557(n-1)). - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 08 2008
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LINKS
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 08 2008, Table of n, a(n) for n = 1..30
Tanya Khovanova, Recursive Sequences
Eric Weisstein's World of Mathematics, Evil Number
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FORMULA
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a(n) = 9^n. - Max Alekseyev, Mar 03 2007
a(n)=9*a(n-1), n>1 ; a(1)=9 . G.f.: 9x/(1-9x). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 23 2008]
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EXAMPLE
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1/9, 10/81, 100/729, 1000/6561, 10000/59049, ...
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CROSSREFS
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Cf. A100061.
Cf. A052268, A011557.
Sequence in context: A125947 A120997 A125630 this_sequence A001019 A074118 A050739
Adjacent sequences: A100059 A100060 A100061 this_sequence A100063 A100064 A100065
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KEYWORD
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nonn,base,frac
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Nov 01, 2004
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EXTENSIONS
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More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jun 08 2008
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