A374921 Irregular triangle read by rows: T(n,k), n >= 0, k >= 1, in which if n is even then row n lists the first A008619(n) even indexed terms of A027336 otherwise if n is odd then row n lists the first A008619(n) odd indexed terms of A027336.
1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 4, 1, 1, 3, 6, 1, 2, 4, 8, 1, 1, 3, 6, 11, 1, 2, 4, 8, 15, 1, 1, 3, 6, 11, 20, 1, 2, 4, 8, 15, 26, 1, 1, 3, 6, 11, 20, 35, 1, 2, 4, 8, 15, 26, 45, 1, 1, 3, 6, 11, 20, 35, 58, 1, 2, 4, 8, 15, 26, 45, 75, 1, 1, 3, 6, 11, 20, 35, 58, 96, 1, 2, 4, 8, 15, 26, 45, 75, 121
Offset: 0
Examples
Triangle begins: 1; 1; 1, 1; 1, 2; 1, 1, 3; 1, 2, 4; 1, 1, 3, 6; 1, 2, 4, 8; 1, 1, 3, 6, 11; 1, 2, 4, 8, 15; 1, 1, 3, 6, 11, 20; 1, 2, 4, 8, 15, 26; 1, 1, 3, 6, 11, 20, 35; 1, 2, 4, 8, 15, 26, 45; 1, 1, 3, 6, 11, 20, 35, 58; 1, 2, 4, 8, 15, 26, 45, 75; 1, 1, 3, 6, 11, 20, 35, 58, 96; 1, 2, 4, 8, 15, 26, 45, 75, 121; ... For n = 10 the sum of the 10th row is 1 + 1 + 3 + 6 + 11 + 20 = 42, the same as the number of partitions of 10.
Comments