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A275068 Squarefree numbers in A022344. 2
1, 5, 11, 19, 29, 31, 41, 55, 59, 61, 71, 79, 89, 95, 101, 109, 131, 139, 145, 149, 151, 155, 179, 181, 191, 199, 205, 209, 211, 229, 239, 241, 251, 269, 271, 281, 295, 305, 311, 319, 331, 341, 349, 355, 359, 379, 389, 395, 401, 409, 419, 421, 431, 439, 445 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The final digit of every number is 1, 5, or 9.  As a set, A022344 consists of the numbers m*F^2, where m is in (1,5,11,19,...) and F is a Fibonacci number.

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

EXAMPLE

A022344 = ({1,5,4,9,16,11,19,11,20,31,19,31,45,29,... ), and deletion of 4,9,16,20, ... leaves (1,5,11,19,29,31,...).

MATHEMATICA

g = GoldenRatio; a[n_] := Floor[(n + 1)*g]^2 - n*Floor[(n + 1)*g] - n^2;

u = Table[a[n], {n, 0, 200}]  (* A022344 *)

Union[Select[u, SquareFreeQ[#] &]]  (* A275068 *)

CROSSREFS

Cf. A000045, A022344.

Sequence in context: A048217 A132087 A089270 * A038872 A141158 A239732

Adjacent sequences:  A275065 A275066 A275067 * A275069 A275070 A275071

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 15 2016

STATUS

approved

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Last modified November 20 20:56 EST 2018. Contains 317422 sequences. (Running on oeis4.)