

A160189


Prime terms subtracted from Fibonacci terms (ignoring first two terms of Fibonacci sequence).


2



0, 0, 0, 1, 2, 8, 17, 36, 66, 115, 202, 340, 569, 944, 1550, 2531, 4122, 6704, 10879, 17640, 28584, 46289, 74942, 121304, 196321, 317710, 514126, 831933, 1346160, 2178196, 3524451, 5702756, 9227328, 14930213, 24157668, 39088018, 63245829, 102333992
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OFFSET

1,5


COMMENTS

Superimpose Fibonacci sequence over the prime sequence (ignoring first two Fibonacci terms); subtract the prime term from the Fibonacci term.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


FORMULA

Line up Fibonacci sequence above the prime sequence so that the 2,3,5, terms are one above the other. Then subtract the prime terms from the Fibonacci.


EXAMPLE

a(6)=8 because prime term 13 subtracted from Fibonacci term 21 = 8.


MATHEMATICA

Table[Fibonacci[2 + n]  Prime[n], {n, 40}] (* Harvey P. Dale, Sep 05 2015 *)


PROG

(UBASIC) 10 'Fibo FibPrm 20 P=1:A=1:B=1:Q=Q+1 30 C=A+B:E=nxtprm(P):print CE; :P=E 40 D=B+C:E=nxtprm(P):print DE; :P=E 50 Q=Q+1 60 A=C:B=D:if Q<40 then 30 ' Enoch Haga, May 05 2009
(MAGMA) [Fibonacci(n+2)  NthPrime(n): n in [1..40]]; // Vincenzo Librandi, May 20 2016


CROSSREFS

Cf. A004399.
Sequence in context: A294537 A294548 A061150 * A281470 A295147 A215933
Adjacent sequences: A160186 A160187 A160188 * A160190 A160191 A160192


KEYWORD

easy,nonn


AUTHOR

Enoch Haga, May 04 2009; corrected May 05 2009


STATUS

approved



