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A097522 Triangle read by rows giving the 246 multinomials described by A005651(5) related to Young tableau and Kostka numbers. 4

%I #7 Dec 03 2016 12:16:45

%S 1,16,1,25,12,1,36,15,8,1,25,18,10,8,1,16,10,6,5,4,1,1,4,5,6,5,4,1

%N Triangle read by rows giving the 246 multinomials described by A005651(5) related to Young tableau and Kostka numbers.

%C The antidiagonal 1 4 5 6 5 4 1 is also listed in A007837 in ascending order by value: 1 1 4 4 5 5 6. The 246 cases are distributed in A036038 as 1 5 10 20 30 60 120.

%D R. Stanton, Constructive Combinatorics, 19856, page 83.

%e Triangle is

%e 1;

%e 16, 1;

%e 25, 12, 1;

%e 36, 15, 8, 1;

%e 25, 18, 10, 8, 1;

%e 16, 10, 6, 5, 4, 1;

%e 1, 4, 5, 6, 5, 4, 1;

%Y Cf. A000085, A000142, A003869, A005651, A036038, A060240.

%K fini,nonn,tabl,full

%O 1,2

%A _Alford Arnold_, Aug 27 2004

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)