1,1

Numbers n with property that they can be written as n = 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".

E. Friedman, Printers's errors

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.

Cf. A116890.

Sequence in context: A109026 A034415 A035894 this_sequence A033695 A035773 A107569

Adjacent sequences: A096295 A096296 A096297 this_sequence A096299 A096300 A096301

nonn,base,nice

Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 22 2004

Edited by Matthew Vandermast (ghodges14(AT)comcast.net), Jun 27 2004

More terms and examples from Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 27 2006