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 A096347 Least number with n preimages (or immediate predecessors) under f(n) = n + (product of nonzero digits of n). 13
 1, 2, 12, 102, 116, 1098, 2072, 1014, 101134, 11014, 1011098, 1003525, 41021255, 210110985, 403130555, 481104655, 4401225555, 4811125555, 86413249555, 39011218055 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS First occurrence of k in A096972. a(20) > 10^11. [From Donovan Johnson, Nov 22 2009] REFERENCES P. A. Loomis, An Introduction to Digit Product Sequences (see link). LINKS P. A. Loomis, An Interesting Family of Iterated Sequences. P. A. Loomis, An Introduction to Digit Product Sequences, J. Rec. Math., 32 (2003-2004), 147-151. P. A. Loomis, An Introduction to Digit Product Sequences, J. Rec. Math., 32 (2003-2004), 147-151. [Annotated archived copy] EXAMPLE a(3)=102 because 102 is the least number with three direct predecessors, 66: 66+6*6 = 102, 74: 74+7*4 = 102, 101: 101+1*1 = 102. CROSSREFS Cf. A096972, A063108, A063425, A096922, A096923, A096924, A096925, A096926, A096927, A096928, A096929, A096930, A096931. Sequence in context: A085389 A202013 A151505 * A137483 A113557 A245266 Adjacent sequences:  A096344 A096345 A096346 * A096348 A096349 A096350 KEYWORD base,more,nonn AUTHOR Jason Earls, Jun 29 2004 EXTENSIONS a(8) to a(11) from Klaus Brockhaus, Jul 07 2004 a(12) from Robert G. Wilson v, Jul 15 2004 a(13)-a(19) from Donovan Johnson, Nov 22 2009 STATUS approved

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Last modified October 16 06:26 EDT 2019. Contains 328050 sequences. (Running on oeis4.)