A131718 -id:A131718 - cp's OEIS frontend

A244227 Even bisection of A244226.

1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 2

Offset: 0

Antti Karttunen, Jun 23 2014

nonn

Number of integers in the n-th run of successive integers having an "even" representation in the Greedy Catalan Base: A244222.

Antti Karttunen, Table of n, a(n) for n = 0..7117

One less than A244228.
Cf. A244222, A244224, A244226.
Differs from A131718 for the first time at n=56, as here a(56) = 3 while A131718(56) = 2.

Scheme
```
(define (A244227 n) (A244226 (+ n n)))
```

a(n) = A244226(2*n).

A178149 Decimal expansion of (15+sqrt(1365))/30.

Original entry on oeis.org

1, 7, 3, 1, 5, 3, 0, 2, 1, 3, 4, 6, 0, 7, 4, 4, 3, 9, 9, 7, 2, 1, 1, 8, 7, 0, 5, 3, 3, 2, 6, 5, 7, 1, 4, 0, 1, 8, 8, 3, 8, 6, 5, 8, 0, 7, 4, 3, 9, 0, 5, 1, 9, 5, 8, 2, 1, 3, 0, 2, 1, 3, 9, 6, 2, 8, 3, 0, 8, 8, 6, 8, 8, 9, 0, 8, 3, 8, 6, 4, 9, 0, 0, 6, 9, 6, 7, 6, 8, 0, 2, 0, 1, 8, 1, 5, 5, 0, 9, 6, 7, 9, 3, 7, 5

Offset: 1

Klaus Brockhaus, May 21 2010

Continued fraction expansion of (15+sqrt(1365))/30 is A131718.

			(15+sqrt(1365))/30 = 1.73153021346074439972...

Cf. A176322 (decimal expansion of sqrt(1365)), A131718 (repeat 1, 1, 2, 1, 2, 1).

A131017 Period 6: repeat [1, 1, 2, -1, 2, 1].

Original entry on oeis.org

1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2, -1, 2, 1, 1, 1, 2

Offset: 0

Paul Curtz, Sep 23 2007

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

Cf. A131717, A131718.

Flatten[Table[{1, 1, 2, -1, 2, 1}, {20}]] (* Wesley Ivan Hurt, Jun 24 2022 *)
PadRight[{},120,{1,1,2,-1,2,1}] (* Harvey P. Dale, Oct 10 2023 *)

|a(n)| = A131718(n).
a(n) = A131717(n+1) - A131717(n).
O.g.f.: (1+x+2*x^2-x^3+2*x^4+x^5)/((1-x)*(1+x)*(x^2+x+1)*(x^2-x+1)). - R. J. Mathar, Jul 07 2008
a(n) = (3+2*(-1)^n+cos(n*Pi/3)-3*cos(n*Pi/3)^2+3*sin(n*Pi/3)^2)/3. - Wesley Ivan Hurt, Jun 24 2022

Edited by R. J. Mathar, Jul 07 2008

cp's OEIS Frontend

A244227 Even bisection of A244226.

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A178149 Decimal expansion of (15+sqrt(1365))/30.

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A131017 Period 6: repeat [1, 1, 2, -1, 2, 1].

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