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A057843 a(n) = floor(n*tau^2) - 3, where tau = (1+sqrt(5))/2. 2

%I #13 Mar 05 2015 10:39:36

%S -1,2,4,7,10,12,15,17,20,23,25,28,31,33,36,38,41,44,46,49,51,54,57,59,

%T 62,65,67,70,72,75,78,80,83,86,88,91,93,96,99,101,104,106,109,112,114,

%U 117,120,122,125,127,130,133,135,138,140,143,146,148,151,154,156,159

%N a(n) = floor(n*tau^2) - 3, where tau = (1+sqrt(5))/2.

%C This sequence and A007064 are very similar - this can be seen if the terms equal to 4 are aligned. - _Thomas Baruchel_, Nov 04 2003

%t Floor[GoldenRatio^2 Range[70]]-3 (* _Harvey P. Dale_, May 15 2014 *)

%o (PARI) a(n)=(3+sqrt(5))*n\2 - 3 \\ _Charles R Greathouse IV_, Jan 23 2015

%Y Subtract 2 from each term of A003622. Complement of A058065.

%K sign

%O 1,2

%A _N. J. A. Sloane_, Nov 24 2000

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Last modified May 17 12:26 EDT 2024. Contains 372600 sequences. (Running on oeis4.)