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A209936 Triangle of multiplicities of k-th partition of n corresponding to sequence A080577. Multiplicity of a given partition of n into k parts is the number of ways parts can be selected from k distinguishable bins. See the example. 2
1, 2, 1, 3, 6, 1, 4, 12, 6, 12, 1, 5, 20, 20, 30, 30, 20, 1, 6, 30, 30, 60, 15, 120, 60, 20, 90, 30, 1, 7, 42, 42, 105, 42, 210, 140, 105, 105, 420, 105, 140, 210, 42, 1, 8, 56, 56, 168, 56, 336, 280, 28, 336, 168, 840, 280, 168, 420, 840, 1120, 168, 70, 560 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Differs from A035206 after position 21.

Differs from A210238 after position 21.

LINKS

Table of n, a(n) for n=1..63.

Sergei Viznyuk, C Program

EXAMPLE

1

2, 1

3, 6, 1

4, 12, 6, 12, 1

5, 20, 20, 30, 30, 20, 1

6, 30, 30, 60, 15, 120, 60, 20, 90, 30, 1

7, 42, 42, 105, 42, 210, 140, 105, 105, 420, 105, 140, 210, 42, 1

Thus for n=3 (third row) the partitions of n=3 are

3+0+0  0+3+0  0+0+3   (multiplicity=3)

2+1+0  2+0+1  1+2+0  1+0+2  0+2+1  0+1+2  (multiplicity=6)

1+1+1  (multiplicity=1)

CROSSREFS

Cf. A080577, A078760, A035206, A210238.

Sequence in context: A225632 A035206 A210238 * A213941 A181511 A115196

Adjacent sequences:  A209933 A209934 A209935 * A209937 A209938 A209939

KEYWORD

nonn,tabl

AUTHOR

Sergei Viznyuk, Mar 15 2012

STATUS

approved

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Last modified August 1 07:45 EDT 2021. Contains 346384 sequences. (Running on oeis4.)