A228717 Triangle read by rows taken from Garvan's paper (see slides 28, 29)

1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 3, 3, 1, 1, 0, 4, 4, 3, 1, 1, 0, 8, 7, 5, 3, 1, 1, 0, 12, 10, 8, 5, 3, 1, 1, 0, 17, 17, 13, 9, 5, 3, 1, 1, 0, 27, 25, 20, 14, 9, 5, 3, 1, 1, 0, 40, 37, 31, 23, 15, 9, 5, 3, 1, 1, 0

Offset

1,7

Links

Table of n, a(n) for n=1..66.

Frank Garvan, Dyson's rank function and Andrews's SPT-function, slides 28, 29.

Example

Triangle begins:
1;
1,   0;
1,   1,  0;
2,   1,  1,  0;
3,   3,  1,  1,  0;
4,   4,  3,  1,  1, 0;
8,   7,  5,  3,  1, 1, 0;
12, 10,  8,  5,  3, 1, 1, 0;
17, 17, 13,  9,  5, 3, 1, 1, 0;
27, 25, 20, 14,  9, 5, 3, 1, 1, 0;
40, 37, 31, 23, 15, 9, 5, 3, 1, 1, 0;
...

Crossrefs

Cf. A092269, A195011, A195012, A209616, A228718.

Sequence in context: A308454 A085815 A088234 * A215977 A357646 A185813

Adjacent sequences: A228714 A228715 A228716 * A228718 A228719 A228720

Keyword

nonn,tabl

Author

Omar E. Pol, Sep 22 2013

Extensions

Suggested by Frank Garvan.

Status

approved