OFFSET
1,2
COMMENTS
Andrew Hilton (see Ref.) refers to these as "half-zero" numbers.
REFERENCES
Andrew Hilton, 101 Puzzles to Solve on your Microcomputer, 1984, HARRAP, page 57.
EXAMPLE
1 is a term since among the numbers 0,1 exactly half contain a digit "0".
10761677 is a term since among the numbers 0,1,2,...,10761677 exactly half contain a digit "0".
PROG
(Python 3)
z=0
z_s = str(z)
counts=0
for x in trange (0, 100000000000):
x_s = str(x)
if z_s in x_s:
counts += 1
if counts / (x+1) == 0.5:
print(z, x)
(Python)
def afind(limit):
count0 = [0, 1]
for k in range(1, limit+1):
count0['0' in str(k)] += 1
if count0[0] == count0[1]: print(k, end=", ")
afind(3*10**7) # Michael S. Branicky, May 25 2021
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
Glen Gilchrist, May 25 2021
STATUS
approved