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 A054212 a(n)^5 is the smallest fifth power whose decimal expansion digits occur with same frequency n. 3
 0, 2955, 49995, 10365589, 75418384, 2592877410, 100661113419, 3989342709778 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Terms calculated by Jeff Heleen. LINKS Patrick De Geest, Numbers whose digits occur with same frequency 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 Cf. A054213, A052093, A052094, A052069, A052071. Sequence in context: A178273 A289562 A054833 * A179138 A236005 A107534 Adjacent sequences:  A054209 A054210 A054211 * A054213 A054214 A054215 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 STATUS approved

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Last modified June 22 00:39 EDT 2021. Contains 345367 sequences. (Running on oeis4.)