A245364 -id:A245364 - cp's OEIS frontend

A245386 Numbers in A245385 where P, Q, R, and S are all distinct.

164, 195, 265, 498, 1664, 1995, 2665, 4847, 4998, 6545, 7424, 16664, 19995, 21775, 24996, 26665, 43243, 49998, 86486, 148480, 166664, 175150, 199995, 217775, 249996, 266665, 368180, 484847, 499998, 654545, 742424, 1001001, 1081075, 1216216, 1249992, 1297290, 1451850, 1471468, 1481477

Offset: 1

Derek Orr, Jul 20 2014

This sequence does not contain any repdigits, unlike A245385.

			4*84847 = 48484*7 = 339388. Thus 484847 is a member of this sequence.

Cf. A245385, A245364.

Cf. A262743 (predestined numbers).

for n in range(1,10**7):
  s = str(n)
  count = 0
  for i in range(1,len(s)):
    if i != len(s) - i:
      if int(s[:i]) != int(s[len(s)-i:]):
        num = int(s[:i])*int(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=', ')

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 PQ = RS.

Original entry on oeis.org

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

Offset: 1

Derek Orr, Jul 20 2014

			Take the number 21775.
2*1775 != 2177*5.
21*775 == 217*75 = 16275. Thus 21775 is a member of this sequence.

Cf. A245364, A245386.

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=', ')

cp's OEIS Frontend

A245386 Numbers in A245385 where P, Q, R, and S are all distinct.

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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 PQ = RS.

Views

Author

Keywords

Examples

Crossrefs

Programs

Python

cp's OEIS Frontend

A245386 Numbers in A245385 where P, Q, R, and S are all distinct.

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

Python

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.

Views

Author

Keywords

Examples

Crossrefs

Programs

Python

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 PQ = RS.