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A095814 Number of nonisomorphic partitions of n on the Ferrers diagram. 0

%I #12 Nov 29 2019 04:21:54

%S 1,1,1,2,3,4,6,8,11,15,21,28,39,51,68,88,116,149,193,245,314,396,501,

%T 628,788,979,1218,1505,1859,2283,2802,3421,4175,5072,6155,7442,8989,

%U 10819,13008,15593,18669,22292,26587,31631,37588,44567,52779,62377

%N Number of nonisomorphic partitions of n on the Ferrers diagram.

%C Partitions of n into at most ceiling(n/2) parts and with at least 1 part greater than or equal to n - floor(n/2).

%F a(n) = A000041(n)/2 if A000041(n) is even and (A000041(n)+1)/2 if A000041(n) is odd.

%e a(5) = 4 because the 4 nonisomorphic partitions of 5 are (5), (4,1), (3,2), (3,1,1).

%o (PARI)

%K nonn

%O 0,4

%A _Jon Perry_, Jul 13 2004

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