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

0,5

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

Links

Table of n, a(n) for n=0..30.

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

Example

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

Mathematica

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

Crossrefs

Cf. A000040, A000045, A130739, A139562.

Sequence in context: A023867 A024594 A106215 * A277208 A243183 A195271

Adjacent sequences: A211545 A211546 A211547 * A211549 A211550 A211551

Keyword

nonn

Author

Alex Ratushnyak, Jun 26 2012

Status

approved