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A035934 Smallest number which can be made to take n steps to reach 0 under "k -> any product of 2 numbers whose concatenation is k". 1
0, 1, 11, 26, 39, 77, 117, 139, 429, 529, 777, 1117, 1669, 2238, 2993, 3697, 4779, 5319, 5919, 10998, 11794, 14989, 21179, 26869, 27797, 36177, 38993, 62958, 74297, 85797, 95339, 113319, 125919, 139919, 199683, 201799, 247817, 333329, 360497, 419926 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

EXAMPLE

a(6)=117 since 117->77->49->36->18->8->0

MATHEMATICA

tbl=Table[1, {10}]; Do[tbl=Append[tbl, b=IntegerDigits[k]; If[(First[b]==0||Last[b]==0), 1, Max[Part[tbl, Table[FromDigits[Take[b, i]]*FromDigits[Take[b, i-Length[b]]], {i, 1, Length[b]-1}]]]+1]], {k, 11, 170000}]; tbl; m=Max[tbl]; Prepend[Flatten[Table[Position[tbl, i, 1, 1], {i, 1, m}]], 0]

CROSSREFS

Cf. A035930-A035935.

Sequence in context: A174223 A190684 A002154 * A035932 A035933 A035935

Adjacent sequences:  A035931 A035932 A035933 * A035935 A035936 A035937

KEYWORD

nonn,base,nice

AUTHOR

Erich Friedman (erich.friedman(AT)stetson.edu)

EXTENSIONS

More terms from Naohiro Nomoto (6284968128(AT)geocities.co.jp), Apr 11 2001

More terms from Vit Planocka (planocka(AT)mistral.cz), Feb 01 2003

More terms from Martin Fuller (martin_n_fuller(AT)btinternet.com), Jun 02 2006

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Last modified February 17 17:35 EST 2012. Contains 206061 sequences.