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A161147 Numbers which can be expressed as the product of numbers made of only nines. 7
9, 81, 99, 729, 891, 999, 6561, 8019, 8991, 9801, 9999, 59049, 72171, 80919, 88209, 89991, 98901, 99999, 531441, 649539, 728271, 793881, 809919, 890109, 899991, 970299, 989901, 998001, 999999, 4782969, 5845851, 6554439, 7144929, 7289271, 8010981, 8099919 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

81 = 9 * 9; 891 = 9 * 99; 8991 = 9 * 999.

MATHEMATICA

ns=Table[10^i-1, {i, 7}]; Take[Union[Join[ns, Flatten[Table[Times@@@Tuples[ns, x], {x, 2, 8}]]]], 50]  [From Harvey P. Dale, Jan. 19, 2011]

nMax=10^7; ns=Table[10^i-1, {i, Floor[Log[10, nMax]]}]; u={1}; Do[While[u2=Union[u, Select[i*u, # <= nMax&]]; u != u2, u=u2], {i, ns}]; Rest[u]

CROSSREFS

Cf. A084034, A161140, A161141, A161142, A161143, A161144, A161145, A161146.

Sequence in context: A203656 A043087 A037414 * A175370 A158028 A043180

Adjacent sequences:  A161144 A161145 A161146 * A161148 A161149 A161150

KEYWORD

nonn,base

AUTHOR

Claudio L Meller (claudiomeller(AT)gmail.com), Jun 03 2009

EXTENSIONS

More terms from Claudio L Meller (claudiomeller(AT)gmail.com), Jun 06 2009

Corrected and extended by Harvey P. Dale, Jan. 19, 2011

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Last modified February 15 09:14 EST 2012. Contains 205751 sequences.