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 A186774 Smallest power of n whose decimal expansion contains n+1, or 0 if no such number. 2
 32, 243, 256, 625, 7776, 16807, 4096, 31381059609, 0, 121, 79496847203390844133441536, 51185893014090757, 155568095557812224, 22168378200531005859375, 17592186044416, 118587876497, 11019960576, 42052983462257059 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS More precisely: smallest power of n (with positive integer exponent) whose decimal expansion contains n+1 as a substring of consecutive decimal digits. This is A[n,n+1], the diagonal above the trivial main diagonal of the array A[k,n] = Smallest power of k whose decimal expansion contains n. The k=2 row A[2,n] = A030001. The k=3 row A[3,n] = A176763. The k=4 row A[4,n] = A176764. The k=5 row A[5,n] = A176765... a(10^k+1) = (10^k+1)^2 for k > 0. - Chai Wah Wu, Feb 13 2017 LINKS Chai Wah Wu, Table of n, a(n) for n = 2..1999 EXAMPLE a(2) = 32 = A030001(3) = smallest power of 2 whose decimal expansion contains 3. a(3) = 243 = A176763(4) = smallest power of 3 whose decimal expansion contains 4. MAPLE a:= proc(n) local t, k;       if type(simplify(log(n)), integer) then 0     else t:= cat(n+1);          for k from 2 while searchtext(t, cat(n^k))=0          do od; n^k       fi     end: seq(a(n), n=2..40);  # Alois P. Heinz, Feb 26 2011 PROG (Python) def A186774(n):     if sum(int(d) for d in str(n)) == 1:         return 0     sn, k = str(n+1), 1     while sn not in str(k):         k *= n     return k # Chai Wah Wu, Feb 13 2017 CROSSREFS Cf. A018856, A063565, A030001, A176763-A176773. Sequence in context: A070332 A111442 A104782 * A223952 A224136 A250363 Adjacent sequences:  A186771 A186772 A186773 * A186775 A186776 A186777 KEYWORD nonn,base,easy AUTHOR Jonathan Vos Post, Feb 26 2011 STATUS approved

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Last modified September 19 18:36 EDT 2021. Contains 347564 sequences. (Running on oeis4.)