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 A321148 a(1) = 24603, a(n) = n*a(n-1) but products that are not in A010784 are first reduced as in A320486 (see comments); continue until zero is reached. 1
 24603, 49206, 4768, 19072, 95360, 572160, 4512, 309, 2781, 27810, 3591, 43092, 5019, 702, 153, 28, 476, 56, 1064, 180, 3780, 83160, 92680, 430, 175, 40, 18, 504, 4, 120, 3720, 94, 3102, 105468, 69180, 298, 26, 9, 351, 1, 41, 17, 731, 32164, 17380, 7480, 3160, 5680, 7830, 3915, 15, 780, 130, 72, 3960, 1760, 132, 75, 25, 15, 915, 56730, 570, 36480, 371, 286, 962, 541, 729, 513, 642, 6, 438, 341, 27, 5, 385, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS At each step, integers that contain duplicated digits are reduced to terms of A010784 by erasing all digits that appear more than once and bunching up the digits that remain. Leading zeros are ignored and any number that disappears entirely becomes 0. See A320486. 24603 is the smallest of 1746 A010784 terms that result in a 78-term sequence, the longest possible. LINKS Hans Havermann, What's so special about 102735? EXAMPLE 2 * 24603 = 49206 3 * 49206 = [147618] => 4768 4 * 4768 = 19072 5 * 19072 = 95360 6 * 95360 = 572160 7 * 572160 = [4005120] => 4512 8 * 4512 = [36096] => 309 ... 76 * 27 = [2052] => 5 77 * 5 = 385 78 * 385 = [30030] => 0 CROSSREFS Cf. A010784, A321149, A320486. Sequence in context: A188791 A195650 A189184 * A216069 A204481 A052356 Adjacent sequences:  A321145 A321146 A321147 * A321149 A321150 A321151 KEYWORD nonn,fini,full,base AUTHOR Hans Havermann, Oct 28 2018 STATUS approved

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Last modified October 23 19:37 EDT 2019. Contains 328373 sequences. (Running on oeis4.)