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 A115982 Number of planar partitions that are not corners. 2
 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; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS 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. LINKS Table of n, a(n) for n=1..34. FORMULA a(n) = A000219(n) - A006330(n) EXAMPLE 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 ... CROSSREFS Cf. A000219, A006330, A000041, A000094. Sequence in context: A192973 A294503 A080204 * A167243 A316403 A185828 Adjacent sequences: A115979 A115980 A115981 * A115983 A115984 A115985 KEYWORD easy,nonn AUTHOR Alford Arnold, Feb 17 2006 EXTENSIONS Edited with additional terms by Franklin T. Adams-Watters, Mar 10 2006 STATUS approved

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Last modified March 4 05:23 EST 2024. Contains 370522 sequences. (Running on oeis4.)