The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 Cf. A000040, A000045, A004397, A001651. Sequence in context: A090980 A329603 A309546 * A307190 A183409 A262867 Adjacent sequences:  A261540 A261541 A261542 * A261544 A261545 A261546 KEYWORD nonn,easy AUTHOR Ilya Gutkovskiy, Aug 24 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 20 16:42 EST 2020. Contains 332080 sequences. (Running on oeis4.)