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A001210 a(n) = solution to the postage stamp problem with 5 denominations and n stamps.
(Formerly M3864 N1707)
+0
20
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 (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).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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.

LINKS

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

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

Sequence in context: A108966 A072333 A055232 this_sequence A128848 A022496 A041044

Adjacent sequences: A001207 A001208 A001209 this_sequence A001211 A001212 A001213

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

Added terms up to a(29) from Challis. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 01 2006

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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