Coprime to sum of permutation's terms

[zak seidov]

--- Antti Karttunen <antti.karttunen at gmail.com> wrote:

<..............>
> This suggests yet another derivative sequence:
> "Integers n, such that A117532(1..n) contains all
> integers from 1 to n-1."

There are a lot (708 of first 2,000 terms of A117532) 
of such numbers:
2,3,5,9,13,16,19,21,25,28,31,33,37,40,43,45,49,52,55,57,61,62,63,65,69,73,76,79,81,85,88,91,93,97,100,103,105,109,112,115,117,121,122,123,125,129,133,136,139,141,145,148,151,153,157,160,163,165,169,172,175,177,181,182,183,185,189,193,196,199,..

> 
> maybe also:
> "Integers n, such that A117532(1..n) contains all
> integers from 1 to n."
> if it's not too short.

Yes, the seq' VERY short:
A2=(1,2)
(from first 2,000 terms of A117532)
> 
> -- Antti
>
Also, both these facts (long A1 and short A2)
were checked to be OK for many pairs of a(1)&a(2).
Zak

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