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A005342 a(n) = solution to the postage stamp problem with n denominations and 7 stamps.
(Formerly M4380)
+0
20
7, 23, 69, 165, 345, 664, 1137 (list; graph; listen)
OFFSET

1,1

COMMENT

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

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

R. Alter and J. A. Barnett, A postage stamp problem, Amer. Math. Monthly, 87 (1980), 206-210.

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. K. Guy, Unsolved Problems in Number Theory, C12.

W. F. Lunnon, A postage stamp problem. Comput. J. 12 (1969) 377-380.

LINKS

Erich Friedman, Postage stamp problem

R. L. Graham and N. J. A. Sloane, On Additive Bases and Harmonious Graphs

CROSSREFS

Postage stamp sequences: A001208 A001209 A001210 A001211 A001212 A001213 A001214 A001215 A001216 A005342 A005343 A005344 A014616 A053346 A053348 A075060 A084192 A084193

Sequence in context: A048457 A048458 A134350 this_sequence A139852 A141194 A045535

Adjacent sequences: A005339 A005340 A005341 this_sequence A005343 A005344 A005345

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Entry improved by comments from John Seldon (johnseldon(AT)onetel.com), Sep 15 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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