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A108457 Number of partitions of (n,n) into pairs (i,j) with i>0, j>=0. 4

%I #6 Sep 25 2018 15:29:36

%S 1,1,3,8,23,60,161,404,1011,2440,5804,13462,30798,69082,152862,333094,

%T 716781,1522534,3198011,6642274,13657417,27805917,56097811,112183092,

%U 222496203,437787036,854936195,1657526884,3191478236,6104379829,11602006003,21916355387

%N Number of partitions of (n,n) into pairs (i,j) with i>0, j>=0.

%C (a,b)+(x,y)=(a+x,b+y); unit is (0,0).

%H Alois P. Heinz, <a href="/A108457/b108457.txt">Table of n, a(n) for n = 0..99</a>

%F a(n) = A091438(2n,n). - _Alois P. Heinz_, Sep 24 2018

%e (2,2)=(1,2)+(1,0)=(1,1)+(1,1), so a(2)=3.

%Y Main diagonal of A108456.

%Y Cf. A000041, A091438, A108461.

%K nonn

%O 0,3

%A _Christian G. Bower_, Jun 03 2005

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)