A211548 Sum of primes below Fibonacci(n).

0, 0, 0, 0, 2, 5, 17, 28, 77, 160, 381, 874, 2127, 5117, 12339, 30504, 74139, 182109, 443685, 1111475, 2735692, 6782748, 16853486, 42013901, 104671293, 262299143, 657330956, 1650934893, 4150915841, 10458898439, 26396485368

Offset: 0

Author

Alex Ratushnyak, Jun 26 2012

Keywords

• nonn

Comments

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

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

Examples

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

Crossrefs

Cf. A000040, A000045, A130739, A139562.

Programs

Mathematica

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

Formula

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