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 A134474 a(n) = numerator of Sum_{k=1..n} 1/A134473(k). 5

%I

%S 1,3,32,5969141,19747269546873779,

%T 63904014199087613123872206552133781224,

%U 31002867396652810808343087989440323100946378567671674124759425791429267942552085359

%N a(n) = numerator of Sum_{k=1..n} 1/A134473(k).

%C The denominator of Sum_{k=1..n} 1/A134473(k) is A134475(n). A134474(n)/A134475(n) approaches a constant (0.6037789...) as n approaches infinity.

%p Digits := 220 ; A134473 := proc(n) option remember ; local su,mu ; if n =1 then 2; else su := add(1/procname(k),k=1..n-1) ; mu := mul(1/(1+1/procname(j)),j=1..n-1) ; ceil( (1+su+sqrt((su-1)^2+4*mu))/2/(mu-su) ) ; fi; end: A134474 := proc(n) add(1/A134473(k),k=1..n) ; numer(%) ; end: seq(A134474(n),n=1..9) ; # _R. J. Mathar_, Jul 20 2009

%Y Cf. A134473, A134475, A134476, A134477.

%K frac,nonn

%O 1,2

%A _Leroy Quet_, Oct 27 2007

%E More terms from _R. J. Mathar_, Jul 20 2009

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Last modified January 29 05:09 EST 2022. Contains 350672 sequences. (Running on oeis4.)