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 A256112 Pandigitals in some base b (A061845) with an extra property: each number formed by the first i digits is divisible by i (digits in the pandigital base b) for 1 <= i <= b-1. 2
 2, 19, 75, 99, 108, 135, 228, 2102, 8525, 10535, 13685, 13710, 26075, 31835, 44790, 203367, 247215, 477543, 518703, 576495, 620343, 743823, 3850399, 6996535, 6996871, 6996920, 7375543, 8947631, 11128712, 12306056, 78473956, 89789620, 156414388, 222029284, 306600196 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A111456 is the subsequence of terms divisible by the considered base (which is the least b such b^b > a(n)). Is it true that there are no terms for base b > 16 and b even? LINKS Hans Havermann and Giovanni Resta, Table of n, a(n) for n = 1..233 (first 163 terms from Chai Wah Wu) Hans Havermann, base-formatted (a=10, b=11, c=12, ..) terms, A111456 highlighted EXAMPLE 247215 = 2046513 (i.e., in base 7) is pandigital and 20 = 14 is even, 204 = 102 is divisible by 3, etc. up to 204651 = 35316 which is divisible by 6. In contrast to A111456, the number as a whole does not need to be divisible by the considered base. - M. F. Hasler, May 27 2020 PROG (Python) def dgen(n, b):     if n == 1:         t = list(range(b))         for i in range(1, b):             u = list(t)             u.remove(i)             yield i, u     else:         for d, v in dgen(n-1, b):             for g in v:                 k = d*b+g                 if not k % n:                     u = list(v)                     u.remove(g)                     yield k, u A256112_list = lambda n: [a*k+b for k in range(2, n) for a, b in dgen(k-1, k)] print(A256112_list(10)) CROSSREFS Cf. A111456. Sequence in context: A110050 A219121 A054209 * A272053 A317274 A226019 Adjacent sequences:  A256109 A256110 A256111 * A256113 A256114 A256115 KEYWORD nonn,base AUTHOR Chai Wah Wu, Jun 07 2015 EXTENSIONS Edited by M. F. Hasler, May 27 2020 STATUS approved

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Last modified April 13 07:51 EDT 2021. Contains 342935 sequences. (Running on oeis4.)