Sequences the same except for 1 term?

[Leroy Quet]

This is a two part email, part 1 is a math question, part 2 is a related 
EIS etiquette question.

===

Below are posted 2 sequences of mine as recently expanded by Klaus 
Brockhaus:

Klaus Brockhaus wrote to me:
>%I A113117
>%S A113117 2,4,6,10,15,26,46,86,166,326,634,1262,2518,5006,10006,19946,39874,
>%T A113117 79738,159398,318778,637502
>%N A113117 a(1) = 2. a(n) is the lowest integer > a(n-1) such that all 
>primes <= a(n-1) divide at least one integer k for a(n-1) < k <= a(n).
>%e A113117 The primes <= a(5) = 15 are 2, 3, 5, 7, 11, and 13. So a(6) is 
>the lowest integer >15 such that each prime <= 15 divides at least one 
>integer between 16 and a(6). Setting a(6) to 26 = 2*13 satisfies the 
>conditions. (2 divides 16. 3 divides 18. 5 divides 20. 7 divides 21. 11 
>divides 22. And 13 divides 26.)
>%o A113117 (PARI) 
>{m=21;print1(a=2,",");for(n=2,m,nxt=a+1;forprime(p=1,a,k=a+1;while(k%p>0,k
>++);nxt=max(nxt,k));print1(a=nxt,","))} - (Brockhaus)
>%K A113117 more,nonn,new
>%O A113117 1,1
>%A A113117 Leroy Quet (qq-quet(AT)mindspring.com), Jan 03 2006
>%E A113117 a(8) to a(21) from Klaus Brockhaus 
>(klaus-brockhaus(AT)t-online.de), Jan 07 2006

>%I A113118
>%S A113118 2,4,6,10,14,26,46,86,166,326,634,1262,2518,5006,10006,19946,39874,
>%T A113118 
>79738,159398,318778,637502,1274998,2549978,5099902,10199786,20399534,
>%U A113118 
>40799062,81598082,163196134,326392258,652784498,1305568942,2611137838
>%N A113118 a(1) = 2. a(n) is lowest integer > a(n-1) which is a multiple 
>of the highest prime <= a(n-1).
>%F A113118 a(n) = 2 * (highest prime <= a(n-1)), by Bertrand's postulate.
>%e A113118 The greatest prime <= a(4) (= 10) is 7. The smallest multiple 
>of 7 which is > 10 is 14. So a(5)= 14.
>%o A113118 (PARI) 
>{m=33;print1(a=2,",");for(n=2,m,p=precprime(a);k=a+1;while(k%p>0,k++);prin
>t1(a=k,","))} - (Brockhaus)
>%K A113118 nonn,new
>%O A113118 1,1
>%A A113118 Leroy Quet (qq-quet(AT)mindspring.com), Jan 03 2006
>%E A113118 a(8) to a(33) from Klaus Brockhaus 
>(klaus-brockhaus(AT)t-online.de), Jan 07 2006



As some of you may have observed, the sequences are the same for the 
given terms except for the 5th term, which is 14 for A113118 and is 15 
for A113117.

Question: Is the 5th term the only differing term among both sequences?

(This seems like it would be an easy question to answer, yet I am having 
some trouble.)

---

Question of etiquette:

Assuming both sequences are indeed the same except for only 1 term, 
should both sequences be in the EIS?

I say yes, but mainly because the differing term is not the first terms 
of the sequences.
(There are plenty of examples where sequences are the same except for 
their first terms.)

It is easy enough for someone checking to see if a sequence is in the EIS 
before submitting it to check the second and following terms only.
But if the submitter checks if a sequence she/he wants to submit is in 
the EIS, and sequence varies only in the 5th term from a sequence already 
in the database, then the submitter will conclude his/her sequence is not 
in the EIS and might be interesting enough to submit.

thanks,
Leroy Quet