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A160754 Numbers n such that n, 2n, 3n and 4n use the same number of characters when expressed in Roman numerals 0
36, 153, 315, 351, 360, 448, 736, 1386 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

This sequence is complete up to 3999.

EXAMPLE

36= XXXVI, 2*36= 72= LXXII, 3*36=108=CVIII, 4*36=144= CXLIV

153= CLIII, 2*153=306=CCCVI, 3*153=459=CDLIX, 4*153=612= DCXII

MAPLE

for n from 1 to 3999 do if(length(convert(n, roman)) = length(convert(2*n, roman)) and length(convert(n, roman)) = length(convert(3*n, roman)) and length(convert(n, roman)) = length(convert(4*n, roman)))then printf("%d, ", n): fi: od: # Nathaniel Johnston, May 18 2011

CROSSREFS

Sequence in context: A203753 A039495 A034592 * A117511 A064244 A064500

Adjacent sequences:  A160751 A160752 A160753 * A160755 A160756 A160757

KEYWORD

nonn,easy

AUTHOR

Claudio L Meller (claudiomeller(AT)gmail.com), May 25 2009

EXTENSIONS

a(8) from Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), May 18 2011

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Last modified February 17 23:58 EST 2012. Contains 206085 sequences.