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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
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
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.)