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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

Table of n, a(n) for n=1..46.

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.)