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 A092289 Number of triangles of partition numbers with the n-partition number as largest side. 0

%I #8 Aug 26 2024 02:07:09

%S 1,2,4,5,7,8,10,10,12,14,16,17,18,19,22,23,24,25,26,27,29,31,32,34,36,

%T 37,38,39,41,42,44,45,47,48,49,50,53,54,55,56,57,58,61,62,65,66,67,68,

%U 69,71,72,73,74,77,78,79,81,83,84,85,86,87,89,91,93,94,95,96,97,98

%N Number of triangles of partition numbers with the n-partition number as largest side.

%C a(n) = #{(i,j): 1<=i<=j<=n and P(n)<=P(i)+P(j)}, P=A000041.

%e a(10)=14: P(10)=42 and

%e 42<=P(10)+P(10)=42+42,42<=P(10)+P(9)=42+30, 42<=P(10)+P(8)=42+22,

%e 42<=P(10)+P(7)=42+15, 42<=P(10)+P(6)=42+11, 42<=P(10)+P(5)=42+7,

%e 42<=P(10)+P(4)=42+5, 42<=P(10)+P(3)=42+3, 42<=P(10)+P(2)=42+2,

%e 42<=P(10)+P(1)=42+1, 42<=P(9)+P(9)=30+30, 42<=P(9)+P(8)=30+22,

%e 42<=P(9)+P(7)=30+15 and 42<=P(8)+P(8)=22+22.

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Feb 06 2004

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Last modified September 9 04:46 EDT 2024. Contains 375759 sequences. (Running on oeis4.)