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A283733
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a(n) = a(n-1) + 1 + floor(n*golden ratio), with a(0) = 1.
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2
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1, 3, 7, 12, 19, 28, 38, 50, 63, 78, 95, 113, 133, 155, 178, 203, 229, 257, 287, 318, 351, 385, 421, 459, 498, 539, 582, 626, 672, 719, 768, 819, 871, 925, 981, 1038, 1097, 1157, 1219, 1283, 1348, 1415, 1483, 1553, 1625, 1698, 1773, 1850, 1928, 2008, 2089
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OFFSET
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0,2
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COMMENTS
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This is column 1 of the rank array, A283734, of the golden ratio.
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LINKS
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MATHEMATICA
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a[0] = 1; a[n_] := a[n] = a[n - 1] + 1 + Floor[n*GoldenRatio]; Table[a[n], {n, 0, 100}]
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PROG
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(PARI) g = (1 + sqrt(5))/2;
a(n) = if(n<1, 1, a(n - 1) + 1 + floor(n*g));
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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