

A003587


Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.


7



1, 5, 10, 50, 100, 500, 1000, 2, 4, 6, 9, 11, 15, 20, 40, 51, 55, 60, 90, 101, 105, 110, 150, 200, 400, 501, 505, 510, 550, 600, 900, 1001, 1005, 1010, 1050, 1100, 1500, 2000, 3, 7, 12, 14, 16, 19, 21, 25, 30, 41, 45, 52, 54, 56, 59, 61, 65, 70, 91, 95, 102, 104, 106, 109, 111, 115, 120, 140, 151
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OFFSET

1,2


COMMENTS

The sequence is finite because 3999 is the largest number that can be written using the symbols I,V,X,L,C,D,M.  J. Lowell, Nov 17 2020
The Romans had symbols for 5000, 10000, 50000, and 100000, but they have no simple equivalents in our current alphabet. See The Book of Numbers, p. 19. The symbol for 100000 is sometimes represented by ((())).  N. J. A. Sloane, Nov 28 2020


REFERENCES

J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996, p. 19.


LINKS

Table of n, a(n) for n=1..67.


EXAMPLE

Written in Roman numerals, the sequence reads: I, V, X, L, C, D, M, II, IV, VI, IX, XI, XV, XX, XL, LI, LV, LX, XC, CI, CV, CX, CL, CC, CD, DI, DV, DX, DL, DC, CM, MI, MV, MX, MV, MC, MD, MM, III, VII, XII, ...  M. F. Hasler, Jan 12 2015


PROG

(PARI) for(d=1, 4, for(n=d, d*1000, A006968(n)==d && print1(n", "))) \\ M. F. Hasler, Jan 12 2015


CROSSREFS

Cf. A003588, A036746, A061493, A006968.
Sequence in context: A271275 A270100 A271287 * A268100 A205884 A032088
Adjacent sequences: A003584 A003585 A003586 * A003588 A003589 A003590


KEYWORD

nonn,base,fini


AUTHOR

N. J. A. Sloane, J. H. Conway and John Jackson (ab158(AT)freenet.uchsc.edu)


EXTENSIONS

More terms from M. F. Hasler, Jan 12 2015


STATUS

approved



