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.

A104707 Triangle read by rows distributing the 1602 multinomials described by A005651(6) related to Young tableau and Kostka numbers.

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%I A104707 #10 Jun 20 2013 16:29:55
%S A104707 1,25,1,81,20,1,25,54,15,1,100,15,36,15,1,256,60,10,27,10,1,25,128,30,
%T A104707 5,27,10,1,100,10,64,30,5,18,10,1,81,40,5,32,10,5,9,5,1,25,27,10,0,32,
%U A104707 10,0,9,5,1,1,5,9,10,5,16,10,5,9,5,1
%N A104707 Triangle read by rows distributing the 1602 multinomials described by A005651(6) related to Young tableau and Kostka numbers.
%C A104707 The last row (and the square roots of the first column) is 1 5 9 5 10 16 5 10 9 5 1, which when sorted appears as 1 1 5 5 5 5 9 9 10 10 16 in A003870 and A060240. The 1602 cases are distributed in A036038: 1 6 15 20 30 60 90 120 180 360 720.
%D A104707 D. Stanton and D. White, Constructive Combinatorics, 1986, page 83.
%e A104707 The triangle is:
%e A104707 1;
%e A104707 25,   1;
%e A104707 81,  20,  1;
%e A104707 25,  54, 15,  1;
%e A104707 100, 15, 36, 15,  1;
%e A104707 256, 60, 10, 27, 10,  1;
%e A104707 25, 128, 30,  5, 27, 10,  1;
%e A104707 100, 10, 64, 30,  5, 18, 10, 1;
%e A104707 81,  40,  5, 32, 10,  5,  9, 5, 1;
%e A104707 25,  27, 10,  0, 32, 10,  0, 9, 5, 1;
%e A104707 1,    5,  9, 10,  5, 16, 10, 5, 9, 5, 1;
%Y A104707 Cf. A000041, A000085, A000142, A003870, A060240, A005651, A036038 and A097522 (a similar triangle distributing the 246 multinomials in A005651(5)).
%Y A104707 Cf. A104778.
%K A104707 fini,full,nonn,tabl
%O A104707 1,2
%A A104707 _Alford Arnold_, Mar 19 2005