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A092289 Number of triangles of partition numbers with the n-partition number as largest side. 0
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, 37, 38, 39, 41, 42, 44, 45, 47, 48, 49, 50, 53, 54, 55, 56, 57, 58, 61, 62, 65, 66, 67, 68, 69, 71, 72, 73, 74, 77, 78, 79, 81, 83, 84, 85, 86, 87, 89, 91, 93, 94, 95, 96, 97, 98 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..70.

EXAMPLE

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

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

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

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

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

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

CROSSREFS

Sequence in context: A005839 A254792 A062102 * A079358 A184014 A183856

Adjacent sequences:  A092286 A092287 A092288 * A092290 A092291 A092292

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Feb 06 2004

STATUS

approved

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Last modified November 13 02:59 EST 2019. Contains 329085 sequences. (Running on oeis4.)