STATUS
reviewed
approved
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Revision History for A110562
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Numbers n such that n in binary representation has a block of exactly a nontrivial pentagonal number of zeros.
(history; published version)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
EXAMPLE
64 is not in this sequence because, though 64 (base 2) = 1000000 has a block of 6 zeros, which has sub-blocks subblocks of 5 zeros, sub-blocks subblocks do not count.
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
LINKS
J.-P. Allouche, <a href="http://www.mat.univie.ac.at/~slc/s/s30allouche.pdfhtml">Finite Automata and Arithmetic</a>, Séminaire Lotharingien de Combinatoire, B30c (1993), 23 pp.
STATUS
approved
editing
STATUS
editing
approved
COMMENTS
a(n) is the index of zeros in the complement of the pentagonal number analogue analog of the Baum-Sweet sequence, which is b(n) = 1 if the binary representation of n contains no block of consecutive zeros of exactly a nontrivial pentagonal number length A000326(i) for i>1; otherwise b(n) = 0.
STATUS
approved
editing
AUTHOR
_Jonathan Vos Post (jvospost3(AT)gmail.com), _, Sep 12 2005