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 A169790 Least number k having n unordered partitions into a nonzero Fibonacci number and a prime. 2
 3, 4, 10, 24, 74, 444, 1614, 15684, 29400, 50124, 259224, 5332128, 11110428, 50395440, 451174728, 1296895890 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Variant of A168382. Fibonacci(1) + prime(4) = Fibonacci(2) + prime(4) = Fibonacci(4) + prime(3) = Fibonacci(5) + prime(2) = 8 are two "distinct" representations of k=8, because Fibonacci(1) = Fibonacci(2) = 1 is treated as indistinguishable, and Fibonacci(4) = prime(2) = 3 are also indistinguishable: k = 1+7 = 3+5. This matters because of the existence of Fibonacci primes (see A005478). a(17) > 10^10. [Donovan Johnson, May 17 2010] LINKS EXAMPLE 1+443 = 5+439 = 13+431 = 55+389 = 233+211 = 377+67 are n=6 distinct representations of 444. CROSSREFS Cf. A168382, A169791. Sequence in context: A266729 A103038 A143108 * A014009 A274220 A299881 Adjacent sequences:  A169787 A169788 A169789 * A169791 A169792 A169793 KEYWORD more,nonn AUTHOR R. J. Mathar and Jon E. Schoenfield, May 14 2010 EXTENSIONS a(8)-a(14) from Max Alekseyev, May 15 2010 a(15)-a(16) from Donovan Johnson, May 17 2010 Prime index in the comment corrected by R. J. Mathar, Jun 02 2010 STATUS approved

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Last modified November 17 23:26 EST 2019. Contains 329242 sequences. (Running on oeis4.)