A096298 Numbers, not ending with 0, that are "printer's errors".

2592, 34425, 312325, 492205, 3472875, 10744475, 13745725, 13942125, 14569245, 14706125, 16746975, 19748225, 60466176, 189637632, 373156875, 381358125, 514155276, 684204032, 1268929233, 1297080225, 1368408064, 1527672265

Offset

1,1

Comments

Numbers that can be written as a^b*c^d*e^f*... and if all the multiplication and exponentiation signs are deleted then abcdef... is the same decimal number. The final multiplicand in the product, uniquely, may or may not include an explicit exponent.

It is not clear from the link whether there may be other printer's errors in between the listed terms. The linked page says merely "Here is a list of all the known printer's errors in base 10 with fewer than 100 digits".

Links

Table of n, a(n) for n=1..22.

E. Friedman, Printer's errors

Example

13745725 is in the sequence because it equals 1^3*7^4*5725.
All the terms up to 10^10: 2^5*9^2, 3^4*425, 31^2*325, 49^2*205, 3^4*7^2*875, 1^0*7^4*4475, 1^3*7^4*5725, 1^3*9^4*2125, 1^4*569^2*45, 1^4*7^06*125, 1^6*7^4*6975, 1^9*7^4*8225, 6^04*6^6*1^76, 1^89*6^3*76^3*2, 3^7*3^1*56875, 3^8*1^3*58125, 51^4*1^552*76, 68^4*204^0*32 = 68^4*2^0*4^0*32, 1^2*689^2*9^2*33, 1^29*7^08*0225, 1^3*68^4*08^0*64, 1^52*7^6*7^2*265, 1^68*8^5*0227^2, 1^8103*17^6*75 = 1^8*1^03*17^6*75, 1^897*43^4*555, 301^0*51^4*445 = 3^0*1^0*51^4*445, 4185^0*9^7*875, 95^0*99^004*99.
9509900499 = 95^0*99^004*99.

Crossrefs

Two other versions of the "printer's errors" sequence are A156322 and A116890.

Sequence in context: A258728 A326747 A156322 * A204782 A204775 A360841

Adjacent sequences: A096295 A096296 A096297 * A096299 A096300 A096301

Keyword

nonn,base,nice

Author

Lekraj Beedassy, Jun 22 2004

Extensions

Edited by Matthew Vandermast, Jun 27 2004

More terms and examples from Giovanni Resta, Feb 27 2006

Status

approved