# A134169 & A081119

zak seidov zakseidov at yahoo.com
Sun Oct 14 02:52:28 CEST 2007

```What's the relation between these:
A134169 & A081119
?
Thanks, Zak

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Thank you all,

I wondered why such a nice sequence was missing :-)

I suggest to add 1 to A072567 especially noticing that the offset is 1.

Tanya

---------- Original Message ----------------------------------

>> 1,3,6,9,12,16,21,
>> %N A000001 a(n) is the maximum number of points on a n by n square grid such that no 4 points form a rectangle having sides parallel to the sides of the grid.
>> %C A000001 a(7) is presented as a puzzle in Mathematical Gems III by Ross Honsberger on page 4.
>
>     It looks like A072567 is missing an initial '1'.
>--
>Don Reble  djr at nk.ca
>
>
>
>--
>This message has been scanned for viruses and
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A060321  First Fibonacci number divisible by n-th prime.

is the wrong version of

A051694   Smallest Fibonacci number that is divisible by n-th prime.

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I just submitted this sequence. (I also submitted a few related

>%I A134204
>%S A134204 2,3,5,7,13,17,19,23,41,31,29,37,11,67
>%N A134204 a(0)=2. a(n) = the smallest prime not occurring earlier in the
>sequence such that a(n-1)+a(n) is a multiple of n.
>%C A134204 Is this sequence infinite, and, if so, is it a permutation of
>the primes?
>This sequence is infinite if and only if a(n-1) never divides n for any n.
>%e A134204 The primes that don't occur among terms a(0) through a(6) form
>the sequence 11,23,29,31,... Of these, 23 is the smallest that when added
>to a(6)=19 gets a multiple of 7 --  19+23 = 42 = 6*7. (19+11 = 30, which
>is not a multiple of 7.) So a(7) = 23.
>%Y A134204 A134205,A134206,A134207
>%O A134204 0
>%K A134204 ,more,nonn,

(Hopefully I did not make an error.)

Is this sequence infinite? In other words, does a(n-1) not divide n for
every positive integer n?

And if it is infinite, is the sequence a permutation of the primes? (ie
Does every prime occur somewhere in the sequence?)

Leroy Quet

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