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A001213 a(n) is the solution to the postage stamp problem with n denominations and 3 stamps.
(Formerly M2647 N1340)
21
3, 7, 15, 24, 36, 52, 70, 93, 121, 154, 186, 225, 271, 323, 385, 450, 515, 606, 684, 788, 865, 977, 1091, 1201, 1361 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Fred Lunnon [W. F. Lunnon] defines "solution" to be the smallest value not obtainable by the best set of stamps. The solutions given are one lower than this, that is, the sequence gives the largest number obtainable without a break using the best set of stamps.
REFERENCES
R. K. Guy, Unsolved Problems in Number Theory, C12.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
R. Alter and J. A. Barnett, A postage stamp problem, Amer. Math. Monthly, 87 (1980), 206-210.
Erich Friedman, Postage stamp problem
R. L. Graham and N. J. A. Sloane, On Additive Bases and Harmonious Graphs, SIAM J. Algebraic and Discrete Methods, 1 (1980), 382-404.
R. L. Graham and N. J. A. Sloane, On Additive Bases and Harmonious Graphs
W. F. Lunnon, A postage stamp problem, Comput. J. 12 (1969) 377-380.
Eric Weisstein's World of Mathematics, Postage stamp problem
CROSSREFS
A row or column of the array A196416 (possibly with 1 subtracted from it).
Sequence in context: A284422 A283865 A283607 * A066044 A066460 A114221
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Entry improved by comments from John Seldon (johnseldon(AT)onetel.com), Sep 15 2004
More terms from Al Zimmermann, Feb 20 2002
Further terms from Friedman web site, Jun 20 2003
Incorrect value of a(17) removed by Al Zimmermann, Nov 08 2009
a(17)-a(25) from Friedman added by Robert Price, Jul 19 2013
STATUS
approved

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Last modified April 16 11:35 EDT 2024. Contains 371711 sequences. (Running on oeis4.)