Possible values of "Dropping time" A102419.

David Wilson davidwwilson at comcast.net
Tue Sep 19 08:53:20 CEST 2006


I think that with the proper definition, 1 does not belong in this sequence. 
I highly suspect that when 1 is removed, most of the remaining values will 
be numbers of the form ceil((log(6)/log(2)) k) for integer k.

----- Original Message ----- 
From: "zak seidov" <zakseidov at yahoo.com>
To: <seqfan at ext.jussieu.fr>
Sent: Saturday, September 16, 2006 6:53 AM
Subject: Re: Possible values of "Dropping time" A102419.


> Dear seqfans,
>
> Distribution of frequences of
> "Dropping time" (DT) values
> is remarkably similar in each 10000 n's:
>
> f1...f4 = frequences of DT in 1st...4th 10000 n's
>
> {DT,f1,f2,f3,f4}
> {{0,1,0,0,0},
> {1,5000,5000,5000,5000},
> {3,2499,2500,2500,2500},
> {6,625,625,625,625},
> {8,625,625,625,625},
> {11,236,234,234,235},
> {13,273,273,274,273},
> {16,116,117,116,119},
> {19,73,74,72,75},
> {21,104,101,105,104},
> {24,55,51,53,55},
> {26,71,73,73,73},
> {29,37,41,37,31},
> {32,38,33,23,26},
> {34,33,36,34,46},
> {37,18,17,24,22},
> {39,33,26,33,33},
> {42,16,20,16,13},
> {44,23,22,28,17},
> {47,7,15,13,9},
> {50,8,8,8,13},
> {52,12,13,8,16},
> {55,5,9,10,6},
> {57,10,13,9,14},
> {60,10,2,6,9},
> {63,5,5,6,5},
> {65,9,7,8,5},
> {68,5,4,5,3},
> {70,10,10,7,2},
> {73,1,4,5,4},
> {75,5,5,1,6},
> {78,4,3,6,2},
> {81,5,1,1,3},
> {83,2,5,4,2},
> {86,1,2,3,0},
> {88,7,2,4,1},
> {91,1,2,1,0},
> {94,2,2,1,3},
> {96,1,1,4,4},
> {99,1,2,0,2},
> {101,0,2,1,2},
> {104,1,0,0,3},
> {106,1,0,3,4},
> {109,0,3,5,1},
> {112,2,1,0,2},
> {114,1,0,3,1},
> {117,1,1,2,1},
> {119,1,4,2,0},
> {122,0,1,1,1},
> {125,1,0,0,0},
> {127,1,2,0,1},
> {130,2,1,0,0},
> {132,2,0,1,0},
> {135,0,1,0,0},
> {150,0,0,0,1},
> {171,0,1,0,0},
> {205,0,0,0,1},
> {220,0,0,0,1}}
>
> I guess that some (first) values
> can be found analytically.
>
> Thanks, Zak
>
> --- zak seidov <zakseidov at yahoo.com> wrote:
>
>> Dear seqfans,
>>
>> Not yet submitted:
>>
>>
> 0,1,3,6,8,11,13,16,19,21,24,26,29,32,34,37,39,42,44,47,50,52,55,57,60,63,65,68,70,73,75,78,81,83,86,88,91,94,96,99,101,104,106,109,112,114,117,119,122,125,127,130,132,135,150,171,205,220
>>
>> Possible values of  "Dropping time" A102419.
>>
>> Checked for n up to 40000.
>>
>> Can anyone check/extend entries,
>>
>> Thanks, Zak.
>>
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