login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A048297 Coefficients in power series expansion over GF(2)[ X^(-1) ] of continued fraction [ 0, X, X^2, X^4, X^8, X^16, ... ]. 3
1, 4, 7, 13, 16, 25, 28, 31, 49, 52, 55, 61, 64, 97, 100, 103, 109, 112, 121, 124, 127, 193, 196, 199, 205, 208, 217, 220, 223, 241, 244, 247, 253, 256, 385, 388, 391, 397, 400, 409, 412, 415, 433, 436, 439, 445, 448, 481, 484, 487, 493, 496, 505 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

M. Morii and M. Kasahara, Perfect staircase profile of linear complexity for finite sequences, Info. Proc. Letters 44 (1992), 85-89, esp. p. 88.

LINKS

Table of n, a(n) for n=0..52.

FORMULA

n is in the sequence iff 2n-1 is in iff 4n is in [and a(0)=1]. So a(Fib(n))=2^n if n is even and a(Fib(n))=2^n-1 if n is odd - Henry Bottomley, Sep 25 2000

a(n)=3*A003714(n)+1 - T. D. Noe, Dec 20 2006

CROSSREFS

Cf. A003714 (Fibbinary numbers).

Sequence in context: A310815 A310816 A310817 * A061201 A219907 A310818

Adjacent sequences:  A048294 A048295 A048296 * A048298 A048299 A048300

KEYWORD

nonn

AUTHOR

Jeffrey Shallit

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 24 04:38 EDT 2019. Contains 324318 sequences. (Running on oeis4.)