A341883 Number of partitions of 2*n+1 into three parts from A339506.

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).

Links

Table of n, a(n) for n=0..71.

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

Cf. A190353, A249876, A339506.

Sequence in context: A326202 A322988 A098201 * A175239 A176228 A322822

Adjacent sequences: A341880 A341881 A341882 * A341884 A341885 A341886

Keyword

nonn

Author

Lechoslaw Ratajczak, Feb 22 2021

Status

approved