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A261543 Numbers of the form (prime(k) + Fibonacci(k))/2. 0
2, 5, 8, 15, 20, 42, 60, 137, 210, 520, 828, 2124, 3418, 8895, 14370, 37561, 60747, 158959, 257169, 673198, 1089220, 2851513, 4613807, 12078987, 19544166, 51167164, 82790160, 216747314, 350704463, 918156051, 1485607642, 3889371138, 6293134627 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The numbers represented as the arithmetic mean of the Fibonacci numbers and prime numbers with identical indices.
LINKS
Eric Weisstein's World of Mathematics, Prime Number
Eric Weisstein's World of Mathematics, Fibonacci Number
FORMULA
a(n) = (prime(A001651(n + 1)) + Fibonacci(A001651(n + 1)))/2
EXAMPLE
a(1) = (prime(2) + Fibonacci(2))/2 = (3 + 1)/2 = 2.
MATHEMATICA
Select[Array[(Prime[#] + Fibonacci@ #)/2 &, 50], IntegerQ] (* Michael De Vlieger, Aug 24 2015 *)
PROG
(PARI) a(n)=n+=n\2+1; (prime(n)+fibonacci(n))/2 \\ Charles R Greathouse IV, Aug 24 2015
CROSSREFS
Sequence in context: A090980 A329603 A309546 * A307190 A183409 A262867
KEYWORD
nonn,easy
AUTHOR
Ilya Gutkovskiy, Aug 24 2015
STATUS
approved

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Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)