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.

A379452 Number of compositions (ordered partitions) of 1 into n distinct reciprocals of positive integers.

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%I A379452 #4 Dec 23 2024 22:06:11
%S A379452 1,0,6,144,8640,1670400,1238655600,6095673521280
%N A379452 Number of compositions (ordered partitions) of 1 into n distinct reciprocals of positive integers.
%F A379452 a(n) = n! * A006585(n).
%e A379452 a(3) = 6 because we have 1 = 1/2 + 1/3 + 1/6
%e A379452                            = 1/2 + 1/6 + 1/3
%e A379452                            = 1/3 + 1/2 + 1/6
%e A379452                            = 1/3 + 1/6 + 1/2
%e A379452                            = 1/6 + 1/2 + 1/3
%e A379452                            = 1/6 + 1/3 + 1/2.
%Y A379452 Cf. A002966, A002967, A006585.
%K A379452 nonn,hard,more
%O A379452 1,3
%A A379452 _Ilya Gutkovskiy_, Dec 23 2024