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A045620
Numbers k such that digits of k^3 include digits of k^2.
1
0, 1, 5, 10, 25, 50, 65, 100, 146, 250, 405, 500, 510, 521, 615, 650, 768, 945, 965, 1000, 1004, 1040, 1050, 1085, 1126, 1145, 1203, 1216, 1219, 1222, 1452, 1460, 1476, 1480, 1482, 1638, 1706, 1878, 2002, 2020, 2199, 2204, 2260, 2276, 2326, 2450, 2470, 2476
OFFSET
1,3
EXAMPLE
a(8) = 146 because 146^3 = 3112136 includes all digits of 146^2 = 21316.
PROG
(Python)
from itertools import count, islice
from collections import Counter
def A045620_gen(startvalue=0): # generator of terms >= startvalue
return filter(lambda k:Counter(str(m:=k**2))<=Counter(str(k*m)), count(max(startvalue, 0)))
A045620_list = list(islice(A045620_gen(), 20)) # Chai Wah Wu, Apr 03 2023
CROSSREFS
KEYWORD
easy,nonn,base
EXTENSIONS
Edited by N. J. A. Sloane, Nov 01 2007, at the suggestion of Alexander R. Povolotsky
STATUS
approved