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A129230
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a(n) = floor(n*r) + floor((n-2)*r) + floor((n-4)*r) + ... + floor(k*r), where r = golden ratio = (1 + sqrt(5))/2 and k = n mod 2.
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1
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0, 1, 3, 5, 9, 13, 18, 24, 30, 38, 46, 55, 65, 76, 87, 100, 112, 127, 141, 157, 173, 190, 208, 227, 246, 267, 288, 310, 333, 356, 381, 406, 432, 459, 487, 515, 545, 574, 606, 637, 670, 703, 737, 772, 808, 844, 882, 920, 959, 999, 1039, 1081, 1123, 1166, 1210
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OFFSET
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0,3
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LINKS
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FORMULA
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MATHEMATICA
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Module[{nn=60, fgm}, fgm=Floor[GoldenRatio*Range[nn]]; Union[Flatten[ Table[ {Total[ Take[fgm, {1, n, 2}]], Total[Take[fgm, {2, n, 2}]]}, {n, nn}]]]] (* Harvey P. Dale, Feb 03 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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