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 A183137 [1/s]+[2/s]+...+[n/s], where s=(golden ratio)^2 and []=floor. 2
 0, 0, 1, 2, 3, 5, 7, 10, 13, 16, 20, 24, 28, 33, 38, 44, 50, 56, 63, 70, 78, 86, 94, 103, 112, 121, 131, 141, 152, 163, 174, 186, 198, 210, 223, 236, 250, 264, 278, 293, 308, 324, 340, 356, 373, 390, 407, 425, 443, 462, 481, 500, 520, 540, 561, 582, 603, 625 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS A183136(n) + a(n) = A000217(n) (the triangular numbers). LINKS FORMULA floor(1/s)+floor(2/s)+...+floor(n/s), where s = (3+sqrt(5))/2 = (golden mean)^2. a(n+1) = a(n) + n - A005206(n). - John Furey, Jun 03 2015 EXAMPLE a(7)=0+0+1+1+1+2+2. MATHEMATICA Accumulate[With[{c=GoldenRatio^2}, Floor[Range[60]/c]]]  (* Harvey P. Dale, Apr 20 2011 *) CROSSREFS Cf. A183136, A000217, A005206, A060143, A060144. Sequence in context: A225645 A302334 A024180 * A008738 A022790 A248360 Adjacent sequences:  A183134 A183135 A183136 * A183138 A183139 A183140 KEYWORD nonn AUTHOR Clark Kimberling, Dec 26 2010 STATUS approved

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Last modified February 17 10:59 EST 2019. Contains 320219 sequences. (Running on oeis4.)