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A274489 a(n) = floor(sinh(n) / n^2). 0

%I #18 Nov 15 2018 08:55:23

%S 1,0,1,1,2,5,11,23,50,110,247,565,1308,3067,7264,17355,41790,101327,

%T 247205,606456,1495255,3703422,9210589,22994029,57603919,144770421,

%U 364916488,922357821,2337297441

%N a(n) = floor(sinh(n) / n^2).

%C This sequence has some elements in common with A018112 (-> elements 1, 2, 5, 11, 23, 50, 110).

%C The sum of the reciprocals of a(n) (for n>=2) converges to 2.870623225848376377857...

%F a(n) = floor(sinh(n)/(n^2)), for n >= 1.

%t Table[Floor[Sinh[n]/n^2],{n,30}] (* _Harvey P. Dale_, Nov 15 2018 *)

%o (PARI) a(n)=localprec(19); localprec((n-log(2))\log(10)+9); sinh(n)\n^2 \\ _Charles R Greathouse IV_, Nov 10 2016

%K nonn,easy,hear

%O 1,5

%A _Alessandro Polcini_, Nov 10 2016

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Last modified August 17 09:16 EDT 2024. Contains 375209 sequences. (Running on oeis4.)