The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A022858 a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3. 4
1, 1, 2, 3, 5, 9, 15, 27, 47, 85, 151, 272, 486, 874, 1569, 2819, 5063, 9098, 16345, 29369, 52769, 94817, 170368, 306125, 550055, 988364, 1775934, 3191079, 5733875, 10302889, 18512702, 33264474, 59771136, 107399532, 192980424 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(n) ~ c * d^n, where d = 1.796846081832011885192668410985515255731636421943246338224794879636345148930..., c = 0.23857918741881541389297836615021092368805310388766212799501511093330834... - Vaclav Kotesovec, May 22 2019
MATHEMATICA
Clear[a]; a[n_] := a[n] = If[n == 1, 1, Sum[Floor[a[n-k]/a[k]], {k, 1, n-1}]]; Table[a[n], {n, 1, 40}] (* Vaclav Kotesovec, May 22 2019 *)
CROSSREFS
Sequence in context: A273905 A307074 A293855 * A301470 A090905 A065956
KEYWORD
nonn
AUTHOR
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 12 14:48 EDT 2024. Contains 373331 sequences. (Running on oeis4.)