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 A253602 Numbers n such that the smallest exponent k for n and n^k to have common digits is 4. 2
 22, 47, 92, 157, 187, 188, 192, 552, 558, 577, 707, 772, 922, 2522, 8338, 17177, 66888, 575757, 929522, 1717177, 8888588 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 22^2=484 and 22^3=10648 have no digits in common with 22, but 22^4=234256 has some, so 22 is in the sequence. PROG (PARI) a253600(n) = {sd = Set(vecsort(digits(n))); k=2; while (#setintersect(sd, Set(vecsort(digits(n^k)))) == 0, k++); k; } isok(n) = a253600(n) == 4; CROSSREFS Cf. A029790, A103173, A189056, A253600, A253601. Sequence in context: A250723 A044099 A044480 * A217751 A209186 A085381 Adjacent sequences:  A253599 A253600 A253601 * A253603 A253604 A253605 KEYWORD nonn,base,more AUTHOR Michel Marcus, Jan 05 2015 STATUS approved

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Last modified June 25 22:13 EDT 2022. Contains 354868 sequences. (Running on oeis4.)