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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A173524 a(n) = A053737(4^k+n-1) in the limit k->infinity, where k plays the role of a row index in A053737. 6
1, 2, 3, 4, 2, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6, 7, 2, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6, 7, 5, 6, 7, 8, 3, 4, 5, 6, 4, 5, 6, 7, 5, 6, 7, 8, 6, 7, 8, 9, 4, 5, 6, 7, 5, 6, 7, 8, 6, 7, 8, 9, 7, 8, 9, 10, 2, 3, 4, 5, 3, 4, 5, 6, 4, 5, 6, 7, 5, 6, 7, 8, 3, 4, 5, 6, 4, 5, 6, 7, 5, 6, 7, 8, 6, 7, 8, 9, 4, 5, 6, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It appears that if A053737 is written as a triangle then the rows are initial segments of the present sequence; see the conjecture in A000120.

The comments in A173525 (base b=5 there) apply here with base b=4. The base b=3 is considered in A173523.

LINKS

Table of n, a(n) for n=1..100.

FORMULA

a(n) = A053737(4^k+n-1) where k>= ceil( log_4(n/3)). [R. J. Mathar, Dec 09 2010]

Conjecture: Fixed point of the morphism 1->{1,2,3,...b}, 2->{2,3,4...,b+1},

j->{j,j+1,...,j+b-1} for b=4. [Joerg Arndt, Dec 08 2010]

MAPLE

A053737 := proc(n) add(d, d=convert(n, base, 4)) ; end proc:

A173524 := proc(n) local b; b := 4 ; if n < b then n; else k := n/(b-1); k := ceil(log(k)/log(b)) ; A053737(b^k+n-1) ; end if; end proc:

seq(A173524(n), n=1..100) ; # R. J. Mathar, Dec 09 2010

CROSSREFS

Cf. A000120, A053737, A063787, A173523 - A173536.

Sequence in context: A273149 A151925 A106653 * A049865 A070771 A274640

Adjacent sequences:  A173521 A173522 A173523 * A173525 A173526 A173527

KEYWORD

nonn

AUTHOR

Omar E. Pol, Feb 20 2010

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 January 18 01:36 EST 2019. Contains 319260 sequences. (Running on oeis4.)