A259624 Strictly increasing list of F - 1, F, and F + 1, where F = A000045, the Fibonacci numbers.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 20, 21, 22, 33, 34, 35, 54, 55, 56, 88, 89, 90, 143, 144, 145, 232, 233, 234, 376, 377, 378, 609, 610, 611, 986, 987, 988, 1596, 1597, 1598, 2583, 2584, 2585, 4180, 4181, 4182, 6764, 6765, 6766, 10945, 10946, 10947

Offset

1,3

Links

Clark Kimberling, Table of n, a(n) for n = 1..2000

Formula

G.f.: -((x (1 + x) (1 + x + x^2 + x^4) (1 + x + 2 x^2 + x^3 + x^4 + x^5))/((1 + x + x^2) (-1 + x^3 + x^6))).

Mathematica

Union[# - 1, #, # + 1] &[Fibonacci[Range[50]]]

Crossrefs

Cf. A000045, A258085, A259623.

Sequence in context: A267762 A296861 A069784 * A178338 A048097 A130843

Adjacent sequences: A259621 A259622 A259623 * A259625 A259626 A259627

Keyword

nonn,easy

Author

Clark Kimberling and Peter J. C. Moses, Jul 01 2015

Status

approved