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 A115723 Table of partitions of n with maximum rectangle k. 4
 1, 0, 2, 0, 1, 2, 0, 0, 2, 3, 0, 0, 1, 4, 2, 0, 0, 0, 5, 2, 4, 0, 0, 0, 3, 4, 6, 2, 0, 0, 0, 1, 4, 11, 2, 4, 0, 0, 0, 0, 3, 14, 4, 6, 3, 0, 0, 0, 0, 1, 15, 6, 12, 4, 4, 0, 0, 0, 0, 0, 13, 8, 18, 9, 6, 2, 0, 0, 0, 0, 0, 8, 10, 25, 14, 12, 2, 6, 0, 0, 0, 0, 0, 4, 9, 30, 22, 20, 4, 10, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS T(n,k)=0 if n > A006218(k). LINKS Alois P. Heinz, Rows n = 1..141, flattened Eric Weisstein's World of Mathematics, Ferrers Diagram. FORMULA Sum_{k=1..n} k * T(n,k) = A182099(n). EXAMPLE The table starts: 1; 0, 2; 0, 1, 2; 0, 0, 2, 3; 0, 0, 1, 4, 2; 0, 0, 0, 5, 2, 4; 0, 0, 0, 3, 4, 6, 2; 0, 0, 0, 1, 4, 11, 2, 4; 0, 0, 0, 0, 3, 14, 4, 6, 3; 0, 0, 0, 0, 1, 15, 6, 12, 4, 4; ... CROSSREFS Cf. A000005 (diagonal), A000041 (row sums), A061017 (column indices of leftmost nonzero elements), A115724 (column sums), A115727, A115728, A006218, A182099. Sequence in context: A261249 A058650 A112177 * A238160 A178524 A321731 Adjacent sequences: A115720 A115721 A115722 * A115724 A115725 A115726 KEYWORD nonn,tabl,look AUTHOR Franklin T. Adams-Watters, Mar 11 2006 STATUS approved

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Last modified April 21 14:03 EDT 2024. Contains 371870 sequences. (Running on oeis4.)