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A001215 a(n) = solution to the postage stamp problem with n denominations and 5 stamps.
(Formerly M3845 N1706)
5, 14, 35, 71, 126, 211, 336, 524, 726, 1016, 1393, 1871, 2494, 3196, 4063, 5113, 6511, 7949, 9865, 11589 (list; graph; refs; listen; history; text; internal format)



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.


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.

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).


Table of n, a(n) for n=1..20.

Erich Friedman, Postage stamp problem

M. F. Challis, Two new techniques for computing extremal h-bases A_k, Comp. J. 36(2) (1993) 117-126

M. F. Challis and J. P. Robinson, Some Extremal Postage Stamp Bases, J. Integer Seq., 13 (2010), Article 10.2.3.

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


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: A083332 A101015 A076858 * A066767 A227200 A027974

Adjacent sequences:  A001212 A001213 A001214 * A001216 A001217 A001218




N. J. A. Sloane.


Added a(9) from Challis. - R. J. Mathar, Apr 01 2006

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

Added term a(10) from Challis and Robinson. John P Robinson (john-robinson(AT)uiowa.edu), Feb 18 2010

a(11)-a(20) from Friedman by Robert Price, Jul 19 2013



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Last modified June 24 09:36 EDT 2017. Contains 288697 sequences.