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0, 1, 4, 8, 14, 22, 31, 42, 54, 68, 84, 101, 120, 141, 163, 187, 212, 239, 268, 298, 330, 363, 398, 435, 473, 513, 555, 598, 643, 689, 737, 787, 838, 891, 946, 1002, 1060, 1119, 1180, 1243, 1307, 1373, 1440, 1509, 1580, 1652, 1726, 1802, 1879
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| M. Griffiths, The Golden String, Zeckendorf Representatons, and the Sum of a Series, Amer. Math. Monthly, 118 (2011), 497-507.
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LINKS
| T. D. Noe, Table of n, a(n) for n = 0..10000
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FORMULA
| a(n) = floor( n*(n+1)/2*phi -n/2) + 0 or +1 - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 03 2003
a(n) = floor( n*(n+1)/2*phi -n/2) + 0, +1, or -1 (n=7920, 18762, 18851,...), or +2 (n=12815, 15841, 30358, 30382,...) if n<2000000. [Gyorgy Birkas, May 6 2011]
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MATHEMATICA
| Accumulate[Table[Floor[GoldenRatio n], {n, 0, 30}]] (* Gyorgy Birkas, May 6 2011 *)
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CROSSREFS
| Sequence in context: A004797 A053459 A024398 * A194149 A003682 A011897
Adjacent sequences: A054344 A054345 A054346 * A054348 A054349 A054350
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 06 2000
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