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 A175975 Numbers n with property that n^n has exactly two 1's. 0
 8, 12, 17, 22, 23, 27, 30 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Next term (if any) > 10000. Is the sequence finite? LINKS Table of n, a(n) for n=1..7. EXAMPLE 8^8=16777216, 12^12=8916100448256, 17^17=827240261886336764177, 22^22=341427877364219557396646723584, 23^23=20880467999847912034355032910567, 27^27=443426488243037769948249630619149892803, 30^30=205891132094649000000000000000000000000000000. MATHEMATICA Select[Range[40], DigitCount[#^#, 10, 1]==2&] (* Harvey P. Dale, Dec 16 2013 *) PROG (Python) A175975_list = [n for n in range(1000) if str(n**n).count('1') == 2] # Chai Wah Wu, May 19 2020 CROSSREFS Cf. A000312 (n^n). Sequence in context: A129150 A361160 A331863 * A030752 A091523 A257162 Adjacent sequences: A175972 A175973 A175974 * A175976 A175977 A175978 KEYWORD base,more,nonn AUTHOR Zak Seidov, Nov 02 2010 STATUS approved

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Last modified February 21 20:02 EST 2024. Contains 370237 sequences. (Running on oeis4.)