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A322772 Row 2 of array in A322770. 3

%I

%S 2,9,70,801,12347,243235,5908978,172449180,5925731200,235946129714,

%T 10745098631229,553630279110396,31978001903989065,2054387367168242251,

%U 145795148420558536232,11361381129471379493270,967044630942570464100761,89483154423059719127570924,8963545185499520505954151682

%N Row 2 of array in A322770.

%H Alois P. Heinz, <a href="/A322772/b322772.txt">Table of n, a(n) for n = 0..300</a>

%F a(n) = A346517(n,n+2) = A346517(n+2,n). - _Alois P. Heinz_, Jul 21 2021

%p b:= proc(n) option remember; `if`(n=0, 1,

%p add(b(n-j)*binomial(n-1, j-1), j=1..n))

%p end:

%p A:= proc(n, k) option remember; `if`(n<k, A(k, n),

%p `if`(k=0, b(n), (A(n+1, k-1)-add(A(n-k+j, j)

%p *binomial(k-1, j), j=0..k-1)+A(n, k-1))/2))

%p end:

%p a:= n-> A(n, n+2):

%p seq(a(n), n=0..18); # _Alois P. Heinz_, Jul 21 2021

%Y Cf. A322770, A346517.

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Dec 30 2018

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Last modified January 20 13:55 EST 2022. Contains 350472 sequences. (Running on oeis4.)