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A211359 Triangle read by rows: T(n,k) is the number of noncrossing partitions up to rotation and reflection of an n-set that contain k singleton blocks. 5
1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 3, 2, 2, 0, 1, 5, 4, 8, 3, 3, 0, 1, 6, 11, 12, 12, 4, 3, 0, 1, 14, 21, 39, 24, 22, 5, 4, 0, 1, 22, 55, 84, 85, 48, 30, 7, 4, 0, 1, 51, 124, 245, 228, 190, 82, 46, 8, 5, 0, 1, 95, 327, 620, 730, 570, 350, 136, 60 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..1274 (terms 0..90 from Tilman Piesk)

EXAMPLE

From Andrew Howroyd, May 02 2018: (Start)

Triangle begins:

   1;

   0,   1;

   1,   0,   1;

   1,   1,   0,   1;

   2,   1,   2,   0,   1;

   2,   3,   2,   2,   0,  1;

   5,   4,   8,   3,   3,  0,  1;

   6,  11,  12,  12,   4,  3,  0, 1;

  14,  21,  39,  24,  22,  5,  4, 0, 1;

  22,  55,  84,  85,  48, 30,  7, 4, 0, 1;

  51, 124, 245, 228, 190, 82, 46, 8, 5, 0, 1;

  ...

(End)

PROG

(PARI) \\ See A303875 for NCPartitionsModDihedral

{ my(rows=Vec(NCPartitionsModDihedral(vector(10, k, if(k==1, y, 1)))));

for(n=1, #rows, for(k=0, n-1, print1(polcoeff(rows[n], k), ", ")); print; ) } \\ Andrew Howroyd, May 02 2018

CROSSREFS

Column k=0 is A303931.

Row sums are A111275.

Cf. A209612, A211357, A303875.

Sequence in context: A049986 A218797 A137289 * A211357 A238416 A063574

Adjacent sequences:  A211356 A211357 A211358 * A211360 A211361 A211362

KEYWORD

nonn,tabl

AUTHOR

Tilman Piesk, Apr 12 2012

STATUS

approved

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Last modified December 6 16:24 EST 2019. Contains 329808 sequences. (Running on oeis4.)