|
Search: id:A156322
|
|
|
| A156322 |
|
Integers n such that if you insert between each of their digits either "*" (times), "^" (exponentiation), or "nothing" (so that two or more digits are merged to form an integer), then you can recover n in a nontrivial way (however, two "^" mustn't be adjacent - you must avoid decompositions containing a^b^c). |
|
+0
3
|
|
| 2592, 34425, 35721, 312325, 344250, 357210, 492205, 1492992, 1729665, 1769472, 3123250, 3365793, 3442500, 3472875, 3572100, 3639168, 4922050, 6718464, 6967296, 7587328, 10744475, 10756480, 13745725, 13942125, 14569245, 16746975
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
The number of terms in the sequence is infinite, because there are numbers like 34425=3^4*425, 344250=3^4*4250, 3442500=3^4*42500, etc
|
|
LINKS
|
Jean-Marc Falcoz, Illustration
|
|
EXAMPLE
|
2592=2^5*9^2
34425=3^4*425
35721=3^5*7*21
312325=31^2*325
344250=3^4*4250
357210=3^5*7*210
492205=49^2*205
1492992=1*4*9*2^9*9^2
1729665=17^2*9*665
1769472=1^7*6*9*4^7*2
3123250=31^2*3250
3365793=3*3^6*57*9*3
3442500=3^4*42500
3472875=3^4*7^2*875
3572100=3^5*7*2100
3639168=3^6*39*16*8
4922050=49^2*2050
6718464=6^7*1^84*6*4
6967296=6*9*6*7*2^9*6
7587328=7*58*73*2^8
10744475=1^0*7^4*4475
10756480=10*7^5*64*8^0
13745725=1^3*7^4*5725
13942125=1^3*9^4*2125
14569245=1^4*569^2*45
16746975=1^6*7^4*6975
17266392=172*66*39^2
17296650=17^2*9*6650
17577728=17*577*7*2^8
17694720=1^7*6*9*4^7*20.
3^5*1482*9760=3514829760 is the only pandigital with this property [From Jean-Marc Falcoz (jeanmarcfalcoz(AT)vtxnet.ch), Mar 19 2009]
|
|
CROSSREFS
|
Two other version of the "printer's errors" sequence are A096298 and A116890.
A096298 is harder to compute because it's more general, you can have decompositions like ab*c*def^g*h*ij.
Sequence in context: A109026 A034415 A035894 this_sequence A096298 A033695 A035773
Adjacent sequences: A156319 A156320 A156321 this_sequence A156323 A156324 A156325
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Jean-Marc Falcoz (jeanmarcfalcoz(AT)vtxnet.ch), Feb 08 2009, Feb 14 2009
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane, (njas(AT)research.att.com), Feb 22 2009
|
|
|
Search completed in 0.005 seconds
|
