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Search: id:A092483
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| A092483 |
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a(n) is the floor of the average of the 1-st moment of all previous entries. |
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+0 1
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| 1, 1, 1, 2, 3, 5, 9, 17, 32, 60, 114, 218, 418, 803, 1549, 2995, 5802, 11263, 21900, 42648, 83163, 162366, 317352, 620906, 1215941, 2383244, 4674825, 9176508, 18025284, 35429006, 69677045, 137106444, 269928311, 531676976, 1047716394
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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a(n)=floor(sum(j=1, n-1, j*a(j))/(n-1))
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EXAMPLE
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The sequence opens 1,1,1,2,3,5. a(7)=floor((1.1 + 2.1 + 3.1 + 4.2 + 5.3 + 6.5)/6) = floor((1+2+3+8+15+30)/6) = floor(59/6) = 9
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PROGRAM
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(PARI) for(i=2, 50, v[i]=floor(sum(j=1, i-1, j*v[j])/(i-1)))
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CROSSREFS
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Sequence in context: A014743 A080889 A049858 this_sequence A005257 A091697 A109740
Adjacent sequences: A092480 A092481 A092482 this_sequence A092484 A092485 A092486
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Apr 04 2004
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