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A211548 Sum of primes below Fibonacci(n). 0

%I #22 Nov 18 2018 17:17:50

%S 0,0,0,0,2,5,17,28,77,160,381,874,2127,5117,12339,30504,74139,182109,

%T 443685,1111475,2735692,6782748,16853486,42013901,104671293,262299143,

%U 657330956,1650934893,4150915841,10458898439,26396485368

%N Sum of primes below Fibonacci(n).

%C a(n)*100/a(n-1):

%C 250, 340, 164, 275, 207, 238, 229, 243, 240, 241, 247, 243, 245, 243, 250, 246, 247, 248, 249, 249, 250, 250, 251, 251, 251, 252

%F a(n) ~ phi^(2n)/(10n log phi) where phi = (1+sqrt(5))/2 is the golden ratio. - _Charles R Greathouse IV_, Jun 26 2012

%e Fibonacci(8)=21, sum of primes below 21 is 2+3+5+7+11+13+17+19=77, so a(8)=77.

%t Table[Total[Prime[Range[PrimePi[Fibonacci[n]-1]]]],{n,0,30}] (* _Harvey P. Dale_, Nov 18 2018 *)

%Y Cf. A000040, A000045, A130739, A139562.

%K nonn

%O 0,5

%A _Alex Ratushnyak_, Jun 26 2012

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Last modified April 25 09:20 EDT 2024. Contains 371967 sequences. (Running on oeis4.)