

A001213


a(n) = solution to the postage stamp problem with n denominations and 3 stamps.
(Formerly M2647 N1340)


22



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
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OFFSET

1,1


COMMENTS

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. Alter and J. A. Barnett, A postage stamp problem, Amer. Math. Monthly, 87 (1980), 206210.
R. L. Graham and N. J. A. Sloane, On Additive Bases and Harmonious Graphs, SIAM J. Algebraic and Discrete Methods, 1 (1980), 382404.
R. K. Guy, Unsolved Problems in Number Theory, C12.
W. F. Lunnon, A postage stamp problem. Comput. J. 12 (1969) 377380.
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

Table of n, a(n) for n=1..25.
Erich Friedman, Postage stamp problem
R. L. Graham and N. J. A. Sloane, On Additive Bases and Harmonious Graphs
Eric Weisstein's World of Mathematics, Postage stamp problem


CROSSREFS

Postage stamp sequences: A001208 A001209 A001210 A001211 A001212 A001213 A001214 A001215 A001216 A005342 A005343 A005344 A014616 A053346 A053348 A075060 A084192 A084193
A row or column of the array A196416 (possibly with 1 subtracted from it).
Sequence in context: A181106 A131753 A171503 * A114221 A226471 A175510
Adjacent sequences: A001210 A001211 A001212 * A001214 A001215 A001216


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane.


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
Removed a(17), as it was incorrect. Al Zimmermann, Nov 08 2009
a(17)a(25) from Friedman by Robert Price, Jul 19 2013


STATUS

approved



