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 A272322 Numbers n such that n^n does not contain all ten decimal digits. 0
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 27, 28, 30, 34, 40, 100, 1000, 10000, 100000, 1000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS A240963 is a subsequence. A011557 is a subsequence. So this sequence is obviously infinite. Conjecture: the only values > 40 are the powers of 10. - Franklin T. Adams-Watters, Apr 29 2016 LINKS EXAMPLE 27 is a term because 27^27 = 443426488243037769948249630619149892803 does not contain digit 5. 28 is a term because 28^28 = 33145523113253374862572728253364605812736 does not contain digit 9. MATHEMATICA {0}~Join~Select[Range[10^4], Times @@ DigitCount[#^#] == 0 &] (* Michael De Vlieger, Apr 25 2016 *) PROG (PARI) isA171102(n) = 9<#vecsort(Vecsmall(Str(n)), , 8); lista(nn) = for(n=0, nn, if(!isA171102(n^n), print1(n, ", "))); (PARI) is(n)=#Set(digits(n^n))<=9 \\ Charles R Greathouse IV, Apr 29 2016 CROSSREFS Cf. A000312, A011557, A130696, A171102, A240963, A272269. Sequence in context: A239427 A255422 A080681 * A246079 A246086 A194417 Adjacent sequences:  A272319 A272320 A272321 * A272323 A272324 A272325 KEYWORD nonn,base,more AUTHOR Altug Alkan, Apr 25 2016 EXTENSIONS a(31) from Charles R Greathouse IV, Apr 29 2016 a(32) from Charles R Greathouse IV, May 03 2016 STATUS approved

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Last modified June 21 04:10 EDT 2021. Contains 345354 sequences. (Running on oeis4.)