A211977 Triangle read by rows, T(n,k) = spt_k(n), in which column k lists the k-th order spt-function (without the first k-1 zeros), n >= 1, k >= 1.

1, 3, 1, 5, 5, 1, 10, 15, 7, 1, 14, 35, 28, 9, 1, 26, 75, 85, 45, 11, 1, 35, 140, 217, 166, 66, 13, 1, 57, 259, 497, 505, 287, 91

Offset

1,2

Comments

The triangle arises from a table due to F. G. Garvan (See the Garvan's paper, page 19).

Links

Table of n, a(n) for n=1..34.

F. G. Garvan, Higher order spt-functions. See page 19.

F. G. Garvan, Higher-order spt functions, Adv. Math. 228 (2011), no. 1, 241-265.

Example

Triangle begins:
   1;
   3,   1;
   5,   5,   1;
  10,  15,   7,   1;
  14,  35,  28,   9,   1;
  26,  75,  85,  45,  11,   1;
  35, 140, 217, 166,  66,  13,  1;
  ...

Crossrefs

Columns 1-6: A092269, A221140, A221141, A221142, A221143, A221144.

Cf. A000041, A220908, A220909.

Sequence in context: A343510 A344725 A209560 * A072919 A273171 A244420

Adjacent sequences: A211974 A211975 A211976 * A211978 A211979 A211980

Keyword

nonn,tabl,more

Author

Omar E. Pol, Jan 03 2013

Status

approved