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 A245385 Numbers N such that N = P//Q = R//S, where // is the concatenation function, satisfying the following properties: P and S are m-digit integers, Q and R are k-digit integers, k and m are distinct positive integers, and P*Q = R*S. 1
 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, 21775, 22222, 24996, 26665, 33333, 43243, 44444, 49998, 55555, 66666, 77777, 86486, 88888, 99999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE Take the number 21775. 2*1775 != 2177*5. 21*775 == 217*75 = 16275. Thus 21775 is a member of this sequence. PROG (Python) for n in range(1, 10**5): ..s = str(n) ..count = 0 ..for i in range(1, len(s)): ....num = int(s[:i])*int(s[i:]) ....if i != len(s) - i: ......if num != 0: ........if num == int(s[:len(s)-i])*int(s[len(s)-i:]): ..........count += 1 ..........break ..if count > 0: ....print(n, end=', ') CROSSREFS Cf. A245364, A245386. Sequence in context: A084325 A234803 A074253 * A245364 A172189 A279777 Adjacent sequences:  A245382 A245383 A245384 * A245386 A245387 A245388 KEYWORD nonn,base AUTHOR Derek Orr, Jul 20 2014 STATUS approved

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Last modified October 15 22:25 EDT 2019. Contains 328038 sequences. (Running on oeis4.)