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A341883
Number of partitions of 2*n+1 into three parts from A339506.
0
0, 1, 1, 2, 3, 3, 3, 4, 3, 4, 4, 4, 3, 4, 2, 3, 3, 3, 5, 5, 5, 5, 6, 6, 9, 9, 8, 8, 7, 5, 8, 5, 8, 7, 7, 6, 7, 6, 8, 8, 7, 9, 7, 7, 8, 7, 6, 8, 6, 6, 6, 5, 6, 9, 8, 12, 10, 9, 9, 8, 8, 8, 9, 7, 7, 5, 6, 6, 8, 9, 10, 8
OFFSET
0,4
COMMENTS
Conjecture: for n > 0 this sequence is always positive (it has been verified up to 10^6).
EXAMPLE
a(0) = 0 because 2*0+1 = 1 is not the sum of 3 terms of A339506.
a(1) = 1 because 2*1+1 = 3 and 3 = 1+1+1 (1 is the term of A339506).
a(2) = 1 because 2*2+1 = 5 and 5 = 1+1+3 (1 and 3 are terms of A339506).
a(3) = 2 because 2*3+1 = 7 and 7 = 1+1+5 = 1+3+3 (1, 3, 5 are terms of A339506).
a(4) = 3 because 2*4+1 = 9 and 9 = 1+1+7 = 1+3+5 = 3+3+3 (1, 3, 5, 7 are terms of A339506).
CROSSREFS
KEYWORD
nonn
AUTHOR
Lechoslaw Ratajczak, Feb 22 2021
STATUS
approved