666 and godly numbers

[David W. Cantrell]

And for anyone interested in this stuff (not me!):
Don't forget that fairly recent scholarship has shown that "the number 
of the Beast" is actually 616, rather than 666.

David

----- Original Message ----- 
From: "Jonathan Post" <jvospost3 at gmail.com>
To: "Joshua Zucker" <joshua.zucker at gmail.com>
Cc: "Maximilian Hasler" <maximilian.hasler at gmail.com>; "Max Alekseyev" 
<maxale at gmail.com>; "Sequence Fans" <seqfan at ext.jussieu.fr>
Sent: Tuesday, March 04, 2008 18:36
Subject: Re: 666 and godly numbers


> It is a Category Error, philosophically, to confuse a string of
> numerals with something that they represent outside of the abstract
> world of integer arithmetic (i.e. 666 = Satan, or 888 = Jesus).
>
> Nonetheless, you can easily verify with Googling that "888" is the
> genuinely "godly" number in Christian numerology, which derived from
> Hebrew Gematria. I can visualize njas wincing when he sees this.
> Sorry, Neil.
>
> On Tue, Mar 4, 2008 at 9:27 AM, Joshua Zucker 
> <joshua.zucker at gmail.com> wrote:
>> On Tue, Mar 4, 2008 at 6:27 AM, Maximilian Hasler
>>  <maximilian.hasler at gmail.com> wrote:
>>  >  So one should think about an alternate definition (easiest:
>>  >  "ungodly"(?) numbers, a supersequence of
>>  >  A121205 : "666" in bases 7 and higher rewritten in base 10.
>>
>>  OK, I computed all terms less than 100000 for this "ungodly" 
>> sequence
>>  and submitted them to OEIS just now.  Below I made this message
>>  shorter by stopping at 10000 (so the below is a subset of my
>>  submission to OEIS).  I hope Max&Maximilian are OK with my giving
>>  credit as in the below; if not please let me know how you'd like 
>> me to
>>  rewrite the submission.
>>
>>  --Joshua
>>
>>  %I A000001
>>  %S A000001 342 438 546 666 685 798 942 950 1028 1098 1266 1275 
>> 1371
>>  1446 1462 1638 1666 1714 1842 1974 2004 2057 2058 2129 2286 2394 
>> 2395
>>  2396 2397 2398 2399 2400 2486 2526 2666 2670 2733 2743 2778 2998 
>> 3042
>>  3086 3295 3318 3429 3460 3462 3504 3505 3506 3507 3508 3509 3510 
>> 3511
>>  3606 3666 3772 3906 4010 4022 4115 4191 4218 4398 4458 4534 4542 
>> 4666
>>  4791 4795 4796 4797 4798 4799 4800 4801 4821 4878 4914 4915 4916 
>> 4917
>>  4918 4919 4920 4921 4922 5046 5144 5226 5487 5492 5558 5586 5649 
>> 5666
>>  5734 5830 5958 6070 6122 6126 6173 6342 6378 6516 6582 6660 6661 
>> 6662
>>  6663 6664 6665 6666 6667 6668 6669 6738 6754 6755 6859 7094 7107 
>> 7146
>>  7196 7197 7198 7199 7200 7201 7202 7453 7545 7566 7600 7601 7602 
>> 7603
>>  7604 7605 7606 7607 7666 7689 7836 7854 7888 7890 7998 8118 8196 
>> 8231
>>  8442 8565 8574 8630 8666 8778 8779 8780 8781 8782 8783 8784 8785 
>> 8786
>>  8787 8788 8898 8917 9142 9145 9260 9294 9366 9498 9582 9597 9598 
>> 9599
>>  9600 9601 9602 9603 9654 9666 9830 9846 9886 9946
>>  %N A000001 "Ungodly" numbers: numbers that, in some base b>6, 
>> contain
>>  the string 666 at least once in their expansion.
>>  %C A000001 Max Alekseyev asked if there are an infinite amount of
>>  godly numbers.  Maximilian Hasler pointed out that up to the 
>> length in
>>  OEIS, the godly numbers would just look like the integers, and
>>  suggested submitting the ungodly numbers.
>>  %e A000001 342 is in the sequence because 342 = 666 base 7.  685 
>> is in
>>  the sequence because 685 = 1666 in base 7.  99968 is in the 
>> sequence
>>  because 99968 = 3666B in base 13.
>>  %Y A000001 A121205 is the numbers that in some base b are 
>> represented
>>  exactly as 666, so is a subsequence of this sequence.
>>  %O A000001 1
>>  %K A000001 ,base,nonn,
>>  %A A000001 Joshua Zucker (joshua.zucker at stanfordalumni.org), Mar 
>> 04 2008
>> 




Tanya,  I didn't check your terms.  But the analogues
for triangles and squares are A067628 and A027709.
For the 3d case, using cubes, it seems to be A075777.

Neil