[seqfan] Re: The mysterious Layman sequences

[hv at crypt.org]

Neil Sloane <njasloane at gmail.com> wrote:
:So here is the question, based on the test case A085376.
:This involves a certain fraction, which is c := 31*37/(2^5*5^10) = 0.36704
:exactly.

That'd be 31 * 37 / 5^5, or 31 * 37 * 2^5 / 10^5, I guess.

:Given c, we construct a triangle of numbers, as follows. The first row is
:(1,1).
:Given row k, we get the next row by repeating row k, except that between
:every 2 adjacent terms x and y in that row, we insert their sum x+y iff y
:<= c*x.

That doesn't look right: for the second row, we'd need 1 <= 0.36704 for
an insert to occur. Looking at the link, I think it should be "insert
their sum x+y iff cy <= x".

Hugo