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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 (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.

Additional terms a(30) through a(67) are available on line at Challis and Robinson. [From John P Robinson (john-robinson(AT)uiowa.edu), Feb 18 2010]

REFERENCES

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

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).

LINKS

Robert Price, Table of n, a(n) for n = 1..67

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. [From John P Robinson (john-robinson(AT)uiowa.edu), Feb 18 2010]

Erich Friedman, Postage stamp problem

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

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