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Search: id:A115982
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| A115982 |
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Number of planar partitions that are not corners. |
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+0
3
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| 0, 0, 0, 1, 3, 10, 23, 54, 112, 228, 437, 826, 1499, 2685, 4688, 8079, 13668, 22875, 37738, 61676, 99672, 159742, 253681, 399962, 625741, 972756, 1502302, 2306988, 3522492, 5351239, 8088469, 12170163, 18229411, 27192571
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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a(n) can also be approximated by considering A000094 since A000094(n) = A000041(n) - n = 0 0 0 1 2 5 8 14 21 32 ... with partial sums 0 0 0 1 3 8 16 30 51 83 ... which counts many of the initial cases. The remaining cases form 0 0 0 0 0 2 7 24 ... counting for n=6, 22/11 and 21/21.
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FORMULA
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a(n) = A000219(n) - A006330(n)
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EXAMPLE
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The planar partitions begin 1 3 6 13 24 48 ... A000219 with corners 1 3 6 12 21 38 ... A006330; therefore the present sequence begins 0 0 0 1 3 10 ...
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CROSSREFS
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Cf. A000219, A006330, A000041, A000094.
Adjacent sequences: A115979 A115980 A115981 this_sequence A115983 A115984 A115985
Sequence in context: A077126 A068043 A080204 this_sequence A134438 A092255 A105861
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KEYWORD
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easy,nonn
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Feb 17 2006
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EXTENSIONS
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Edited with additional terms by Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 10 2006
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