A157198 Integers n such that by inserting between their digits + or - or * or / or ^ or nothing (i.e., concatenate two digits) you recover n back in a nontrivial way.

736, 2502, 2592, 11664, 15613, 15617, 15618, 15622, 15624, 15632, 15642, 15645, 15656, 15662, 15667, 15698, 16875, 17536, 19453, 26364, 27639, 32785, 34425, 35721, 39283, 39343, 39363, 39369, 45947, 46630

Offset

1,1

Comments

736 = 7+3^6

2502 = 2+50^2

2592 = 2^5*9^2

11664 = 1*1*6^6/4

15613 = 1+5^6-13

15617 = 1*5^6-1-7

15618 = 1*5^6+1-8

15622 = 1+5^6-2*2

15624 = 1+5^6+2-4

15632 = 1+5^6+3*2

15642 = 1+5^6+4^2

15645 = 1*5^6+4*5

15656 = 1+5*6+5^6

15662 = 1+5^6+6^2

15667 = 1*5^6+6*7

15698 = 1+5^6+9*8

16875 = 1*68+7^5

17536 = 1*7^5+3^6

19453 = 19*4^5-3

26364 = 26^3*6/4

27639 = 2^7*6^3-9

32785 = 3+2*7+8^5

34425 = 3^4*425

35721 = 3^5*7*21

39283 = 3^9*2-83

39343 = 39+34^3

39363 = 3^9/3*6-3

39369 = 3+9^3*6*9

45947 = 4*5+9^4*7

46630 = 4+6^6-30

46633 = 4+6^6-3^3

46644 = 4+6^6-4*4

46648 = 4*6^6/4-8

46655 = 4+6*6^5-5

46660 = 4+6^6*6^0

46663 = 4+6+6^6-3

117476 = 1-174+7^6

117576 = 1+1-75+7^6

117625 = 1*1+7^6-25

117630 = 11+7^6-30

117633 = 11+7^6-3^3

117635 = 1*1+7^6-3*5

117638 = 1*1*7^6-3-8

117639 = 1+1+7^6-3-9

117642 = 1*1+7^6-4*2

117643 = 1*1+7^6-4-3

117644 = 11+7^6-4*4

117647 = 1*1+7^6+4-7

117648 = 11+7^6-4-8

117650 = 1*1*7^6+5^0

117652 = 1*1*7^6+5-2

117653 = 1+1+7^6+5-3

117660 = 11+7^6*6^0

117662 = 1*1+7^6+6*2

117663 = 11+7^6+6-3

117695 = 1*1+7^6+9*5

117763 = 117+7^6-3

156250 = 1*5^6*2*5+0

156251 = 1*5^6*2*5+1

156252 = 1*5^6*2*5+2

156253 = 1*5^6*2*5+3

156254 = 1*5^6*2*5+4

156255 = 1*5^6*2*5+5

156256 = 1*5^6*2*5+6

156257 = 1*5^6*2*5+7

156258 = 1*5^6*2*5+8

156259 = 1*5^6*2*5+9

186622 = 1*8*6^6/2-2

186624 = 1*8*6^6*2/4

186641 = 18+6^6*4-1

234224 = 2-34+22^4

Terms like 59052 = 5+9^05-2 or 125003 = 1+2+50^03 have been removed.

From Zak Seidov, Feb 27 2009: (Start)

Sequence is infinite. Trivial pattern:

1562500 = 1*5^6*2*50+0

1562501 = 1*5^6*2*50+1

1562502 = 1*5^6*2*50+2

1562503 = 1*5^6*2*50+3

1562504 = 1*5^6*2*50+4

1562505 = 1*5^6*2*50+5

1562506 = 1*5^6*2*50+6

1562507 = 1*5^6*2*50+7

1562508 = 1*5^6*2*50+8

1562509 = 1*5^6*2*50+9

15625000 = 1*5^6*2*500+0, etc. (End)

Links

Table of n, a(n) for n=1..30.

Crossrefs

Sequence in context: A324260 A121342 A067866 * A156954 A231034 A004078

Adjacent sequences: A157195 A157196 A157197 * A157199 A157200 A157201

Keyword

base,nonn

Author

Jean-Marc Falcoz, Feb 24 2009

Extensions

Name corrected by Jean-Marc Falcoz, Mar 24 2017

Status

approved