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Search: id:A157198
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| A157198 |
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Integers n such that by inserting between their digits + or - or * or / or nothing (ie concatenate two digits) you recover n back in a nontrivial way. |
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+0
1
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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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
Contribution from Zak Seidov (zakseidov(AT)yahoo.com), 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)
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CROSSREFS
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Sequence in context: A083360 A121342 A067866 this_sequence A156954 A004078 A043633
Adjacent sequences: A157195 A157196 A157197 this_sequence A157199 A157200 A157201
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KEYWORD
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base,nonn
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AUTHOR
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Jean-Marc Falcoz (jeanmarcfalcoz(AT)vtxnet.ch), Feb 24 2009
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