OFFSET
0,5
COMMENTS
This sequence was originally introduced by Mikhail Kurkov in A217924 where he conjectured that A217924(n) = Sum_{k=0..2^n-1} a(k).
FORMULA
Conjecture (by Mikhail Kurkov): a(2^n - 1) = A000296(n).
Conjecture (by Mikhail Kurkov): a((4^n - 1)/3) = A288268(n).
MAPLE
f := n -> padic[ordp](n, 2):
a := proc(n) option remember; if n = 0 then return 1 fi;
(-1)^n*a((n - 2^f(n))/2) + a(floor((2*n - 2^f(n))/2)) end:
seq(a(n), n = 0..79);
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Apr 22 2024
STATUS
approved