cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A137383 Total number of different ways to fill m labeled boxes with balls which belong to the specifications provided by all the integer partitions [n] of n. Empty boxes are not allowed. Total number of possible preferential arrangements (or hierarchical orderings) of n elements if the elements may belong to c=1 up to c=n different classes (or specifications).

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%I A137383 #10 Feb 20 2025 11:05:46
%S A137383 1,5,25,173,20335,45999
%N A137383 Total number of different ways to fill m labeled boxes with balls which belong to the specifications provided by all the integer partitions [n] of n. Empty boxes are not allowed. Total number of possible preferential arrangements (or hierarchical orderings) of n elements if the elements may belong to c=1 up to c=n different classes (or specifications).
%D A137383 John Riordan: Introduction to combinatorics New York, unabridged republication of the edition published by John Wiley & Sons, New York, 1958, ISBN 0-486-42536-3.
%D A137383 Percy A. MacMahon: Combinatorial Analysis, Volumes I, II bound in one volume, Chelsea Publishing Company, New York, 1960, Reprint of the two volumes published 1915, 1916 by Cambridge University Press, Library of Congress Catalog Card No. 59-10267.
%Y A137383 Cf. A000079, A000670.
%K A137383 nonn,more
%O A137383 1,2
%A A137383 _Thomas Wieder_, Apr 09 2008