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A001209
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a(n) is the solution to the postage stamp problem with 4 denominations and n stamps.
(Formerly M3432 N1568)
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24
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4, 12, 24, 44, 71, 114, 165, 234, 326, 427, 547, 708, 873, 1094, 1383, 1650, 1935, 2304, 2782, 3324, 3812, 4368, 5130, 5892, 6745, 7880, 8913, 9919, 11081, 12376, 13932, 15657, 17242, 18892, 21061, 23445, 25553, 27978, 31347, 33981, 36806, 39914, 43592
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OFFSET
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1,1
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COMMENTS
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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.
Challis lists up to a(54) and provides recursions up to a(157). - R. J. Mathar, Apr 01 2006
Additional terms a(29) through a(254) can be computed using 3 sets of equations and a table of 10 coefficients available on line at Challis and Robinson. - John P Robinson (john-robinson(AT)uiowa.edu), Feb 18 2010
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REFERENCES
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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).
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LINKS
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CROSSREFS
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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).
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Entry improved by comments from John Seldon (johnseldon(AT)onetel.com), Sep 15 2004
a(15) to a(28) from Table 1 of Mossige reference added by R. J. Mathar, Mar 29 2006
a(29)-a(54) from Challis and Robinson added by Robert Price, Jul 19 2013
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STATUS
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approved
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