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A054212 a(n)^5 is the smallest fifth power whose decimal digits occur with same frequency n. 3
0, 2955, 49995, 10365589, 75418384, 2592877410, 100661113419, 3989342709778, 2826734132736, 78074715540102 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Terms calculated by Jeff Heleen.
Next term > 2.5*10^17 - Frank A. Stevenson, Feb 02 2024
LINKS
EXAMPLE
2955^5 = 225313610074846875 and digits 0, 1, 2, 3, 4, 5, 6, 7, and 8 each occur twice.
PROG
(Python)
def agen(POW=5):
n = 1
while True:
k = 0
while True:
kpowstr = str(pow(k, POW))
q, r = divmod(len(kpowstr), n)
if r == 0:
ok = True
for d in set(kpowstr):
if kpowstr.count(d) != n:
ok = False; break
if ok: break
k += 1
else: # go to next multiple of n digits: (q+1)*n
k = max(k+1, int((10**((q+1)*n-1))**(1/POW)))
yield k
n += 1
g = agen() # call with POW=4, 3, 2 for A052093, A052071, A052069
print([next(g) for n in range(1, 5)]) # Michael S. Branicky, Dec 17 2020
CROSSREFS
Sequence in context: A178273 A289562 A054833 * A179138 A236005 A107534
KEYWORD
nonn,base,hard,more
AUTHOR
Patrick De Geest, Feb 15 2000
EXTENSIONS
Offset corrected by Michel Marcus, Aug 12 2015
a(7)-a(8) from Michael S. Branicky, Dec 17 2020
a(9)-a(10) from Frank A. Stevenson, Jan 02 2024
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)