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.

A130273 Refines A075197(n): number of partitions of n balls of n colors. The refinement has shape A000041(n).

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%I A130273 #4 Mar 15 2015 17:35:58
%S A130273 1,4,2,9,24,5,20,84,54,132,15,35,240,320,630,780,720,52,66,570,870,
%T A130273 2280,465,6240,4440,1320,8280,4050,203,105,1260,1974,6720,2394,20580,
%U A130273 19740,14385,11445,83160,31080,34860,77910,23772,877,176,2520,4312,17640,5432
%N A130273 Refines A075197(n): number of partitions of n balls of n colors. The refinement has shape A000041(n).
%C A130273 a(n) can be calculated by resorting A035206 into Mathematica order vice AS1 ordering and then multiplying term by term with A096443(n).
%e A130273 The array begins
%e A130273 1
%e A130273 4 2
%e A130273 9 24 5
%e A130273 20 84 54 132 15
%e A130273 ...
%e A130273 Row three is (9,24,5) because there are (3, 4,5) cases; and we have (3, 6,1) ways to pick 1,2 or 3 colors.
%Y A130273 Cf. A000041, A000110, A035206, A075197, A096443, A114994.
%K A130273 nonn
%O A130273 1,2
%A A130273 _Alford Arnold_, May 19 2007