

A086364


Triangle read by rows: S_D(n,k) = `Type D' Stirling numbers of the second kind.


2



1, 2, 2, 2, 9, 4, 2, 27, 36, 10, 2, 65, 195, 140, 26, 2, 143, 840, 1180, 540, 76, 2, 301, 3171, 7735, 6510, 2142, 232, 2, 619, 11060, 43659, 59920, 34692, 8624, 764, 2, 1257, 36707, 223566, 467691, 423612, 180852, 35856, 2620, 2, 2535, 117960, 1071350
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OFFSET

0,2


LINKS

Table of n, a(n) for n=0..48.


FORMULA

A partition of {n, ..., 1, 1, ..., n} into nonempty subsets X_1, ..., X_r is called `symmetric' if for each i X_i = X_j for some j. S_D(n, k) is the number of such symmetric partitions whose induced partition on {1, ..., n} involves k nonempty subsets and none of the X_i are of the form {j, j}.


CROSSREFS

Cf. A085483, A086365 (row sums).
Sequence in context: A138056 A022459 A060804 * A260662 A228044 A171529
Adjacent sequences: A086361 A086362 A086363 * A086365 A086366 A086367


KEYWORD

easy,nonn,tabl


AUTHOR

James East, Sep 04 2003


STATUS

approved



