[seqfan] Re: The Jacob's Ladder sequence: nice but not new

Antti Karttunen antti.karttunen at gmail.com
Wed Feb 21 17:05:06 CET 2018

Regarding A065358, The Jacob's Ladder sequence.
(ref: http://list.seqfan.eu/pipermail/seqfan/2018-February/018334.html )

I wonder whether the random walk would look substantially different, if one used
https://oeis.org/A192512 (Number of ludic numbers (A003309) not
greater than n) instead of A000720 ?
(maybe computing it as a(n) = Sum_{k=1..n} (-1)^(a(n)-1) so that the
ladder would go towards the same direction as A065358)

One could call that "Jacob's Ladder sequence computed for Ludic
numbers". Or "Ludic Ladder" for short?

For a lots of precomputed Ludic numbers, see Donovan Johnson's
zip-file [cached copy] linked at https://oeis.org/A255420

Best regards,


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