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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). 2
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Table of n, a(n) for n=1..26.

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, Mar 19 2009]

CROSSREFS

Two other version of the "printer's errors" sequence are A096298 and A116890.

This one is harder to compute because it's more general; you can have decompositions like ab*c*def^g*h*ij.

Sequence in context: A035894 A179702 A258728 * A096298 A204782 A204775

Adjacent sequences:  A156319 A156320 A156321 * A156323 A156324 A156325

KEYWORD

base,nonn

AUTHOR

Jean-Marc Falcoz, Feb 08 2009, Feb 14 2009

EXTENSIONS

Edited by N. J. A. Sloane, Feb 22 2009

STATUS

approved

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Last modified October 23 21:59 EDT 2017. Contains 293814 sequences.