A181885 Integer nearest (1/n)*(r^n), where r = golden ratio = (1 + sqrt(5))/2.

2, 1, 1, 2, 2, 3, 4, 6, 8, 12, 18, 27, 40, 60, 91, 138, 210, 321, 492, 756, 1166, 1800, 2786, 4320, 6710, 10440, 16267, 25380, 39650, 62017, 97108, 152214, 238824, 375060, 589521, 927369, 1459960, 2300100

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) = floor(1/2 + (1/n)*(r^n)), where r = golden ratio = (1 + sqrt(5))/2.

Mathematica

Table[Round[((1 + Sqrt[5])/2)^n/n], {n, 1, 50}]

Prog

(Magma) [Round(((1 + Sqrt(5))/2)^n/n): n in [1..50]]; // Vincenzo Librandi, Jun 21 2011

Crossrefs

Cf. A000045, A172128.

Sequence in context: A306945 A234716 A357383 * A116560 A309224 A103784

Adjacent sequences: A181882 A181883 A181884 * A181886 A181887 A181888

Keyword

nonn

Author

Clark Kimberling, Nov 20 2010

Status

approved