OFFSET
1,1
COMMENTS
Conjecture from N. J. A. Sloane, Nov 05 2019: (Start)
a(4t) = 5t+1(+1 if binary expansion of t ends in odd number of 0's) for t >= 1,
a(4t+1) = -(5t-2(+1 if binary expansion of t ends in odd number of 0's)) for t >= 1,
a(4t+2) = 5t+4 for t >= 0,
a(4t+3) = -(5t+2) for t >= 0.
These formulas explain all the known terms.
a(2t) is closely related to A298468. The expressions for a(4t) and a(4t+1) can also be written in terms of A328979.
The conjecture would establish that the terms lie on two straight lines, of slopes +-5/4.
There is a similar conjecture for A328190. (End)
LINKS
Peter Kagey, Table of n, a(n) for n = 1..10000
CROSSREFS
See A328984 and A328985 for simpler sequences which almost have the properties of A329190 and A328196. - N. J. A. Sloane, Nov 07 2019
KEYWORD
sign
AUTHOR
Peter Kagey, Oct 07 2019
STATUS
approved