Carl, wonder if you can alter this code to catch the longest sequences <= n for a given AD and output them

for instance, 

I/P:

AD:=210,n:=11

O/P:

7: [47, 257, 467, 677, 887, 1097, 1307] 
10: [199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089]

@Carl Love 

@Carl Love 

@Carl Love 

thanks Carl, but it would be nice to do it as a procedure

@Carl Love 

thanks Carl, but it would be nice to do it as a procedure

modifying some Acer code

> g := proc(n) local f,F,i; f := (t,n) -> 2+(2*n-1)^2/t; F := n; for i from n-1 to 1 by -1 do F := f(F,i); od; F; end proc;

> evalf(4/(1+g(10000)));
                 

1.222025897

(it doesn't converge very quickly)

modifying some Acer code

> g := proc(n) local f,F,i; f := (t,n) -> 2+(2*n-1)^2/t; F := n; for i from n-1 to 1 by -1 do F := f(F,i); od; F; end proc;

> evalf(4/(1+g(10000)));
                 

1.222025897

(it doesn't converge very quickly)

my attempt:

V:= root(22,3):
> for n from 3 by -1 to 2 do
> V:= sqrt(22+V): end do:
> V;
> evalf(V)
> ;
                                                 (1/2)
                       /                   (1/2)\    
                       |     /       (1/3)\     |    
                       \22 + \22 + 22     /     /    
                                 5.194243409

no. because it needs to allow for every 2nd term being cube rooted. the answers 5

my attempt:

V:= root(22,3):
> for n from 3 by -1 to 2 do
> V:= sqrt(22+V): end do:
> V;
> evalf(V)
> ;
                                                 (1/2)
                       /                   (1/2)\    
                       |     /       (1/3)\     |    
                       \22 + \22 + 22     /     /    
                                 5.194243409

no. because it needs to allow for every 2nd term being cube rooted. the answers 5

@Carl Love 

ok, now i'm in this mode.

but it doesn't appear to work. firstly i apply my template settings globally (a worksheet of yours).

then i creat a new worksheet and reverts to the default settings. here are 2 before screenshots.

(template )and after (untitled)  

@Carl Love 

ok, now i'm in this mode.

but it doesn't appear to work. firstly i apply my template settings globally (a worksheet of yours).

then i creat a new worksheet and reverts to the default settings. here are 2 before screenshots.

(template )and after (untitled)  

@Carl Love 

i loaded one of your worksheets ...i went through the menu steps above....didn't change anything,.

in the first instance did you go: Format=>Styles,

then...Format=>Manage Style Sets...

@Carl Love 

i loaded one of your worksheets ...i went through the menu steps above....didn't change anything,.

in the first instance did you go: Format=>Styles,

then...Format=>Manage Style Sets...

funnily enough, when I logged onto this site with my second hand ipad (by coincidence i'm currently touring in the OP's country) I found out I'd been banned (I've never visited the site before!). This is a screen shot of the message.

OP's name a coincidence?

thanks Carl. too easy for you