

A001210


a(n) = solution to the postage stamp problem with 5 denominations and n stamps.
(Formerly M3864 N1707)


21



5, 16, 36, 70, 126, 216, 345, 512, 797, 1055, 1475, 2047, 2659, 3403, 4422, 5629, 6865, 8669, 10835, 12903, 15785, 18801, 22456, 26469, 31108, 36949, 42744, 49436, 57033, 66771, 75558, 86303, 96852, 110253, 123954, 140688, 158389, 178811, 197293, 223580
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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.
Additional terms a(30) through a(67) are available on line at Challis and Robinson. [From John P Robinson (johnrobinson(AT)uiowa.edu), Feb 18 2010]


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

Robert Price, Table of n, a(n) for n = 1..67
R. Alter and J. A. Barnett, A postage stamp problem, Amer. Math. Monthly, 87 (1980), 206210.
M. F. Challis, Two new techniques for computing extremal hbases A_k, Comp. J. 36(2) (1993) 117126.
M. F. Challis and J. P. Robinson, Some Extremal Postage Stamp Bases, J. Integer Seq., 13 (2010), Article 10.2.3. [From John P Robinson (johnrobinson(AT)uiowa.edu), Feb 18 2010]
Erich Friedman, Postage stamp problem
W. F. Lunnon, A postage stamp problem, Comput. J. 12 (1969) 377380.
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: A072333 A055232 A211806 * A264552 A128848 A274248
Adjacent sequences: A001207 A001208 A001209 * A001211 A001212 A001213


KEYWORD

nonn


AUTHOR

N. J. A. Sloane.


EXTENSIONS

Added terms up to a(29) from Challis.  R. J. Mathar, Apr 01 2006
Entry improved by comments from John Seldon (johnseldon(AT)onetel.com), Sep 15 2004
a(30)a(67) from Challis and Robinson by Robert Price, Jul 19 2013


STATUS

approved



