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A074702 a(n) = ((n+1)^2*(n-1)*a(n-1)+(-1)^(n+1))/n. 1

%I

%S 1,4,43,806,23213,947864,51997111,3685295242,327581799289,

%T 35673657942572,4670006130663971,723461783075360174,

%U 130890931830249779173,27346855400248614577216,6534075316966068976316143,1770326031190494313270654994,539845302687736618823239734641

%N a(n) = ((n+1)^2*(n-1)*a(n-1)+(-1)^(n+1))/n.

%H Harvey P. Dale, <a href="/A074702/b074702.txt">Table of n, a(n) for n = 1..252</a>

%F a(n) = round((n+1)!^2*BesselJ(0, 2))/n.

%t nxt[{n_,a_}]:={n+1,(n*a*(n+2)^2+(-1)^(n+2))/(n+1)}; Transpose[ NestList[ nxt,{1,1},15]][[2]] (* _Harvey P. Dale_, Jun 26 2013 *)

%Y Cf. A073701.

%K easy,nonn

%O 1,2

%A _Vladeta Jovovic_, Sep 03 2002

%E More terms from _Emeric Deutsch_, Dec 18 2003

%E More terms from _Harvey P. Dale_, Jun 26 2013

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Last modified February 7 12:58 EST 2023. Contains 360123 sequences. (Running on oeis4.)