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A084192
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Array read by antidiagonals: T(n,k) = solution to postage stamp problem with n stamps and k denominations (n >= 1, k >= 1).
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19
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1, 2, 2, 3, 4, 3, 4, 8, 7, 4, 5, 12, 15, 10, 5, 6, 16, 24, 26, 14, 6, 7, 20, 36, 44, 35, 18, 7, 8, 26, 52, 70, 71, 52, 23, 8, 9, 32, 70, 108, 126, 114, 69, 28, 9, 10, 40, 93, 162, 211, 216, 165, 89, 34, 10, 11, 46, 121, 228, 336, 388, 345, 234, 112, 40, 11, 12, 54, 154, 310, 524
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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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 in this sequence and in A001208, A001209, A001210, A001211, A001212, ... are one lower than this, that is, the sequence gives the largest number obtainable without a break using the best set of stamps.
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LINKS
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EXAMPLE
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Array begins:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ...
2, 4, 7, 10, 14, 18, 23, 28, 34, 40, ...
3, 8, 15, 26, 35, 52, 69, 89, 112, ...
4, 12, 24, 44, 71, 114, 165, 234, ...
5, 16, 36, 70, 126, 216, 345, ...
6, 20, 52, 108, 211, 388, ...
7, 26, 70, 162, 336, ...
8, 32, 93, 228, ...
9, 40, 121, ...
10, 46, ...
11, ...
...
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CROSSREFS
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A084193 gives transposed array. Rows and columns give rise to A014616, A001208, A001209, A001210, A001211, A053346, A053348, A001212, A001213, A001214, A001215, A001216, A005342, A005343, A005344, A075060.
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KEYWORD
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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
More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jun 26 2003
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STATUS
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approved
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