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A133487 The first term is 256; each subsequent term in the series is computed by translating the previous term to binary, then reinterpreting the binary expansion as a product of metaprimes. Metaprimes follow the form p^(2^n) where p is a prime number and n is a nonnegative integer. See the link for more detailed explanation. 0

%I #9 Jan 13 2019 03:11:06

%S 256,16,7,24,35,54,756,612612,2291867200,5127061294109100000

%N The first term is 256; each subsequent term in the series is computed by translating the previous term to binary, then reinterpreting the binary expansion as a product of metaprimes. Metaprimes follow the form p^(2^n) where p is a prime number and n is a nonnegative integer. See the link for more detailed explanation.

%C The next term is larger than 2^64.

%H Will Nicholes, <a href="http://willnicholes.com/metaprimes.htm">Metaprime binary series.</a>.

%F a(0)=256, a(n) = A052330(a(n-1)).

%e 35 decimal is 100011 binary; 100011 is reinterpreted as (9^1)(7^0)(5^0)(4^0)(3^1)(2^1) = 54.

%Y Cf. A079708.

%K nonn,more

%O 1,1

%A _Will Nicholes_, Nov 30 2007

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