A079708 Metaprime binary to standard binary conversion series.

0, 1, 2, 3, 6, 12, 20, 28, 140, 260, 64, 11, 30, 420, 7488, 1922800, 11285855256250575, 54979022626732989863421863670075405480

Offset

0,3

Comments

Each term in the series is computed by translating the previous term to binary, then reinterpreting the binary expression 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.

Links

Table of n, a(n) for n=0..17.

Will Nicholes, Metaprime binary series.

Formula

a(0)=0, a(n) = A052330(a(n-1)). - Thomas Ordowski, Jun 20 2005

Example

20 (decimal) = 10100 (binary) 10100 (metaprime binary) = 7 * 1 * 4 * 1 * 1 = 28 (decimal).

Crossrefs

Sequence in context: A103070 A233422 A361382 * A096571 A227940 A382328

Adjacent sequences: A079705 A079706 A079707 * A079709 A079710 A079711

Keyword

nonn

Author

Will Nicholes, Jan 31 2003

Extensions

Link updated by Will Nicholes, Jun 07 2010

Status

approved