P.S. Here are the same takes listed horizontally, easier to cut and paste.

    (iii0,:iii1) 10
1 4  7 10  13  16  19  22  25  28
0 4 20 54 112 200 324 490 704 972

    (v0,:v1) 10
1  6  31   76  141   226   331   456    601    766
0 _6 _32 _108 _384 _1250 _3456 _8232 _17408 _33534


Kip Murray wrote:
> wow
> 
> Also, one may propose a favorite sequence.  I have two pairs to offer.  The 
> first pair is almost too easy. The second pair is harder but you may get it 
> if 
> you understand the first pair.  Provide definitions for the verb pair iii0, 
> iii1 
> and the pair v0, v1 .  Each verb generates takes from a sequence:
> 
>     (iii0,.iii1) 10   NB. takes listed vertically
>   1   0
>   4   4
>   7  20
> 10  54
> 13 112
> 16 200
> 19 324
> 22 490
> 25 704
> 28 972
> 
>     (v0,.v1) 10
>    1      0
>    6     _6
>   31    _32
>   76   _108
> 141   _384
> 226  _1250
> 331  _3456
> 456  _8232
> 601 _17408
> 766 _33534
> 
> If you use J to help figure these out, tell!
> 
> 
> Roger Hui wrote:
>> p:@(+/)@(i.!])@>@i.
>>
>> Why is it my favorite?  The function does not contain
>> any of the digits 0-9.
>>
>>
>>
>> ----- Original Message -----
>> From: Kip Murray <[email protected]>
>> Date: Monday, August 17, 2009 12:16
>> Subject: Re: [Jprogramming] Takes from a mystery sequence
>> To: Programming forum <[email protected]>
>>
>>> Part three: Propose your favorite
>>>
>>> Kip Murray wrote:
>>>> Part two: If you used J to help you figure out the sequence, tell
>>>>
>>>> Kip Murray wrote:
>>>>> Verb i. produces takes from the sequence of non-negative integers:
>>>>>
>>>>>      i.20
>>>>> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
>>>>>      i.5
>>>>> 0 1 2 3 4
>>>>>      5 {. i.20
>>>>> 0 1 2 3 4
>>>>>
>>>>> Verb s generates takes from a mystery sequence (no peeking in 
>>> Sloane, please)
>>>>>      s 13
>>>>> 2 3 7 19 53 131 311 719 1619 3671 8161 17863 38873
>>>>>      s 5
>>>>> 2 3 7 19 53
>>>>>      5 {. s 13
>>>>> 2 3 7 19 53
>>>>>
>>>>> Your mission, should you decide to accept it, is to provide a 
>>> definition for s . 
>>>>>    As always, these instructions will
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
----------------------------------------------------------------------
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