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 A239437 Least number that is pandigital in some base >= n but not pandigital in bases 3 through n-1. 1
 11, 78, 698, 12280, 179685, 5518135, 1037845296, 1037845296, 46935813565, 2860727439460, 285947759601954, 1018897102759406, 672654273047783383 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Gives an upper bound on the testing needed to check membership in A239348. LINKS Table of n, a(n) for n=3..15. Charles R Greathouse IV, GP script for computing terms FORMULA Trivially a(n) >= A049363(n) > n^(n-1). PROG (PARI) See Greathouse link. (Python) from itertools import permutations from gmpy2 import digits def A239437(n): # requires 3 <= n <= 62 ....m = n ....while True: ........s = ''.join([digits(i, m) for i in range(m)]) ........for d in permutations(s, m): ............if d[0] != '0': ................c = mpz(''.join(d), m) ................for b in range(3, n): ....................if len(set(digits(c, b))) == b: ........................break ................else: ....................return int(c) ........m += 1 # Chai Wah Wu, May 31 2015 CROSSREFS Subsequence of A154314. Cf. A239348. Sequence in context: A041224 A030054 A225896 * A140542 A101983 A139953 Adjacent sequences: A239434 A239435 A239436 * A239438 A239439 A239440 KEYWORD nonn,base,hard AUTHOR Charles R Greathouse IV, Mar 18 2014 EXTENSIONS a(15) from Giovanni Resta, Mar 19 2014 STATUS approved

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Last modified September 11 04:57 EDT 2024. Contains 375814 sequences. (Running on oeis4.)