The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A055290 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A055290

Triangle of trees with n nodes and k leaves, 2 <= k <= n.
(history; published version)

#29 by Michael De Vlieger at Mon Jan 02 15:24:12 EST 2023

STATUS

reviewed

approved

#28 by Andrew Howroyd at Mon Jan 02 15:04:29 EST 2023

STATUS

proposed

reviewed

#27 by Michel Marcus at Mon Jan 02 15:00:45 EST 2023

STATUS

editing

proposed

#26 by Michel Marcus at Mon Jan 02 15:00:10 EST 2023

DATA

1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 3, 4, 2, 1, 0, 1, 4, 8, 6, 3, 1, 0, 1, 5, 14, 14, 9, 3, 1, 0, 1, 7, 23, 32, 26, 12, 4, 1, 0, 1, 8, 36, 64, 66, 39, 16, 4, 1, 0, 1, 10, 54, 123, 158, 119, 60, 20, 5, 1, 0, 1, 12, 78, 219, 350, 325, 202, 83, 25, 5, 1, 0, 1, 14, 110, 377, 727

STATUS

proposed

editing

Discussion

Mon Jan 02

15:00

Michel Marcus: extra data removed so that last row is complete in table output

#25 by Gus Wiseman at Mon Jan 02 14:11:01 EST 2023

STATUS

editing

proposed

#24 by Gus Wiseman at Mon Jan 02 14:10:04 EST 2023

EXAMPLE

n=2: 1

n=3: 1 0

n=4: 1 1 0

n=5: 1 1 1 0

n=6: 1 2 2 1 0

n=7: 1 3 4 2 1 0

n=8: 1 4 8 6 3 1 0

n=9: 1 5 14 14 9 3 1 0

n=10: 1 7 23 32 26 12 4 1 0

n=11: 1 8 36 64 66 39 16 4 1 0

n=12: 1 10 54 123 158 119 60 20 5 1 0

n=13: 1 12 78 219 350 325 202 83 25 5 1 0

Discussion

Mon Jan 02

14:11

Gus Wiseman: Extended the triangle.

#23 by Gus Wiseman at Mon Jan 02 14:05:08 EST 2023

CROSSREFS

Cf. A000088, A000272, A001349, `A001433, A002494, A185650, `A358732.

#22 by Gus Wiseman at Sun Jan 01 04:35:06 EST 2023

EXAMPLE

Triangle starts withbegins:

n=2: 1;

1

1 0

1 1 0

1 1 1 0

1 2 2 1 0

n= 1 3: 4 2 1, 0;

n=4: 1,1,0;

n=5: 1,1,1,0;

n=6: 1,2,2,1,0;

n=7: 1,3,4,2,1,0;

n=8: 1, 4, 8, 6, 3, 1, 0;

n=9: 1, 5, 14, 14, 9, 3, 1, 0;

n=10: 1, 7, 23, 32, 26, 12, 4, 1, 0;

...

1 8 36 64 66 39 16 4 1 0

1 10 54 123 158 119 60 20 5 1 0

1 12 78 219 350 325 202 83 25 5 1 0

CROSSREFS

The labeled version is A055314.

Central column is A358107.

Left of central column is A359398.

Cf. A000088, A000272, A001349, `A001433, A002494, A185650, `A358732.

#21 by Gus Wiseman at Sun Jan 01 03:29:49 EST 2023

EXAMPLE

n=7: 1,3,4,2,1,0;

n=8: 1,4,8,6,3,1,0;

n=9: 1,5,14,14,9,3,1,0;

n=10: 1,7,23,32,26,12,4,1,0;

STATUS

approved

editing

#20 by Susanna Cuyler at Sun Dec 20 22:23:16 EST 2020

STATUS

proposed

approved