[seqfan] Re: Is A290646 = A135517?
Vladimir Shevelev
shevelev at bgu.ac.il
Sun Aug 13 17:43:19 CEST 2017
Dear Peter and SeqFans,
I proved that for odd n>=1
E(n,x) = x^n + Sum_{odd k=1..n} e_k(n)* x^(n-k),
where |e_k(n)| =
binomial(n,k)*A002425((k+1)/2)/A006519(k+1).
>From this in A290646 it easily follows that for odd n
a(n) = 2^max{odd k=1..n}(A007814(k+1) + A000120(n)-
A000120(n-k)-A000120(k)-delta(k,n)).
I think that anyone can prove that it is A135517(n)
(for odd n).
Best regards,
Vladimir
________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Peter Luschny [peter.luschny at gmail.com]
Sent: 08 August 2017 19:18
To: seqfan at list.seqfan.eu
Subject: [seqfan] Is A290646 = A135517?
Thankful for any comment.
Peter
http://oeis.org/search?q=id:A290646|id:A135517
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