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 A245364 Let p  =  first digit of n, q  =  number obtained if p is removed from n; let r  =  last digit of n, s  =  number obtained if r is removed from n; sequence give n such that p*q = r*s != 0, p! = q, and r! = s. 2
 111, 164, 195, 222, 265, 333, 444, 498, 555, 666, 777, 888, 999, 1111, 1664, 1995, 2222, 2665, 3333, 4444, 4847, 4998, 5555, 6545, 6666, 7424, 7777, 8888, 9999, 11111, 16664, 19995, 22222, 26665, 33333, 43243, 44444, 49998, 55555, 66666, 77777, 86486, 88888, 99999, 111111, 166664 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Once A010785(n) > 100, then A010785 is a subsequence. By the definition, one-digit and two-digit numbers are ruled out. LINKS EXAMPLE 1*64 = 16*4 = 64. Thus 164 is a member of this sequence. 9*999 = 999*9 = 8991. Thus 9999 is a member of this sequence. PROG (Python) for n in range(100, 10**5): ..s = str(n) ..num = int(s[:1])*int(s[1:]) ..if num != 0 and num == int(s[:len(s)-1])*int(s[len(s)-1:]): ....print(n, end=', ') CROSSREFS Cf. A010785. Sequence in context: A234803 A074253 A245385 * A172189 A279777 A291797 Adjacent sequences:  A245361 A245362 A245363 * A245365 A245366 A245367 KEYWORD nonn,base AUTHOR Derek Orr, Jul 19 2014 STATUS approved

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Last modified July 20 22:20 EDT 2019. Contains 325189 sequences. (Running on oeis4.)