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A359481
Irregular triangle read by rows in which T(n,k) is one half of the number of overpartitions of n having k distinct parts, n>=1, k>=1.
0
1, 2, 2, 2, 3, 4, 2, 10, 4, 12, 4, 2, 22, 8, 4, 26, 20, 3, 34, 40, 4, 44, 60, 8, 2, 54, 100, 16, 6, 58, 148, 40, 2, 74, 208, 80, 4, 88, 268, 160, 4, 88, 388, 240, 16, 5, 110, 468, 416, 32, 2, 118, 616, 616, 80, 6, 136, 736, 936, 160, 2, 142, 940, 1296, 320, 6, 162, 1108, 1816, 576
OFFSET
1,2
FORMULA
T(n,k) = (1/2)*A235790(n,k).
T(n,k) = (2^(k-1))*A116608(n,k).
EXAMPLE
Triangle begins:
1;
2;
2, 2;
3, 4;
2, 10;
4, 12, 4;
2, 22, 8;
4, 26, 20;
3, 34, 40;
4, 44, 60, 8;
2, 54, 100, 16;
6, 58, 148, 40;
2, 74, 208, 80;
4, 88, 268, 160;
4, 88, 388, 240, 16;
...
CROSSREFS
Column 1 gives A000005.
Row n has length A003056(n).
Row sums give A014968, n >= 1.
The first element of column k is A000079(k-1).
The first element of column k is in row A000217(k).
Sequence in context: A244798 A308253 A286614 * A023508 A151553 A151714
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Mar 31 2023
STATUS
approved