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Search: id:A095114
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%I A095114
%S A095114 1,2,4,6,9,12,16,20,24,29,34,39,45,51,57,63,70,77,84,91,99,107,115,123,
%T A095114 132,141,150,159,168,178,188,198,208,218,229,240,251,262,273,285,297,
%U A095114 309,321,333,345,358,371,384,397,410,423,437,451,465,479,493,507,522
%N A095114 a(1)=1. a(n) = a(n-1) + (number of elements of {a(1),...,a(n-1)} which 
               are <= n-1).
%C A095114 Every positive integer is either of the form a(n)+n-1 or of the form 
               a(n+1)-a(n)+n, but not both.
%C A095114 The keyword "more" refers to the fact that it would be nice to have the 
               sequences a(n)+n-1 and a(n+1)-a(n)+n in the OEIS too. - N. J. A. 
               Sloane (njas(AT)research.att.com).
%C A095114 Equals A001463 + 1, the partial sums of Golomb's sequence A001462. - 
               Ralf Stephan, May 28 2004
%H A095114 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A095114 3 elements of {a(1),...,a(4)} are <= 4, so a(5) = a(4) + 3 = 9.
%t A095114 a[1]=1; a[n_]:=a[n]=a[n-1]+Length[Select[a/@Range[n-1], #<n&]]
%Y A095114 Equals A001463(n)+1.
%Y A095114 Sequence in context: A105434 A145196 A061536 this_sequence A062048 A075354 
               A086378
%Y A095114 Adjacent sequences: A095111 A095112 A095113 this_sequence A095115 A095116 
               A095117
%K A095114 nonn
%O A095114 1,2
%A A095114 Dean Hickerson (dean.hickerson(AT)yahoo.com), following a suggestion 
               of Leroy Quet May 28 2004

    
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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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