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A096298
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Numbers, not ending with 0, that are "printer's errors".
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2
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2592, 34425, 312325, 492205, 3472875, 10744475, 13745725, 13942125, 14569245, 14706125, 16746975, 19748225, 60466176, 189637632, 373156875, 381358125, 514155276, 684204032, 1268929233, 1297080225, 1368408064, 1527672265
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OFFSET
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1,1
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COMMENTS
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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".
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LINKS
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Table of n, a(n) for n=1..22.
E. Friedman, Printer's errors
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EXAMPLE
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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.
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CROSSREFS
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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
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KEYWORD
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nonn,base,nice
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AUTHOR
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Lekraj Beedassy, Jun 22 2004
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EXTENSIONS
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Edited by Matthew Vandermast, Jun 27 2004
More terms and examples from Giovanni Resta, Feb 27 2006
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STATUS
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approved
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