Need help with sequences

Zakir Seidov zakseidov at gmail.com
Thu Dec 28 06:28:57 CET 2006


Of course this sequence is finite and full.

Another sequence for numbers n such that tanya4(n)|n is infinite,
{n/tanya4(n),n}}:
{2,10},{10,210},{101,1010},{110,1100},{10,1330},{9,1332},{43,3010},{3,4035},{1,4624},{4,5140},{1250,10000},{910,10010},<...>{250,532500},{1,595968},{136,603024},{132,611424},{120,653040},{38,661656},{100000,1000000},<...>
{99,1731015},{102,1731144},{21,1733844},{14,1843184},...}

...Olivier GERARD is 1000 times right when he writes:
ponder about it, sleep on it, etc,
but how to follow these golden rules
in this real hectic life ;-(
Happy Near Year to all SFs,
Zak

On 12/28/06, Zakir Seidov <zakseidov at gmail.com> wrote:
> If we reduce slightly the requirement and
> look for numbers n such that n|tanya4(n), then we have
> {tanya4(n)/n,n}}:
> {{4, 1}, {8, 2}, {64, 4}, {8192, 8}, {964, 17}, {9040, 29},
> {20, 52}, {68,64}, {1024, 68}, {7, 624}, {384, 694},
> {112,768}, {284, 924}, {14, 1172}, {20, 3281},
> {1, 4624}, {2, 6656}, {8, 8234}, {28, 9664},
> {4, 98384}, {1, 595968}},..
>
> Next term(s)?
>
> Some SeqFan with C++ may wish to go further,
>
> Zak
>
> tanya4[n_]:=(Plus @@ (4^IntegerDigits[n]))






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