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A211548 Sum of primes below Fibonacci(n). 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 4 21:32 EDT 2021. Contains 346455 sequences. (Running on oeis4.)