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A300756 Triangle T(n,k) read by rows: number of squarefree graphs on n nodes with k components. 1
1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 3, 3, 1, 1, 0, 8, 5, 3, 1, 1, 0, 19, 14, 6, 3, 1, 1, 0, 57, 33, 16, 6, 3, 1, 1, 0, 186, 98, 39, 17, 6, 3, 1, 1, 0, 740, 305, 116, 41, 17, 6, 3, 1, 1, 0, 3389, 1133, 355, 122, 42, 17, 6, 3, 1, 1, 0, 18502, 4824, 1288, 373, 124, 42, 17, 6, 3, 1, 1, 0, 120221, 24575, 5332, 1343 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Multiset transform of A077269.

LINKS

Table of n, a(n) for n=0..82.

EXAMPLE

The triangle starts in row n=0 with columnes 0<=k<=n as

1

0 1

0 1 1

0 2 1 1

0 3 3 1 1

0 8 5 3 1 1

0 19 14 6 3 1 1

0 57 33 16 6 3 1 1

0 186 98 39 17 6 3 1 1

0 740 305 116 41 17 6 3 1 1

0 3389 1133 355 122 42 17 6 3 1 1

0 18502 4824 1288 373 124 42 17 6 3 1 1

0 120221 24575 5332 1343 379 125 42 17 6 3 1 1

0 932260 150292 26415 5499 1361 381 125 42 17 6 3 1 1

0 8596844 1110759 157791 26973 5554 1367 382 125 42 17 6 3 1 1

0 93762704 9876826 1146376 159799 27146 5572 1369 382 125 42 17 6 3 1 1

0 1201732437 104856709 10078812 1154493 160372 27201 5578 1370 382 125 42 17 6 3 1 1

0 17992683043 1317129728 106250470 10116666 1156565 160545 27219 5580 1370 382 125 42 17 6 3 1 1

CROSSREFS

Cf. A077269 (column k=1), A006786 (row sums).

Sequence in context: A228717 A215977 A185813 * A321914 A321746 A133830

Adjacent sequences:  A300753 A300754 A300755 * A300757 A300758 A300759

KEYWORD

nonn,tabl

AUTHOR

R. J. Mathar, Mar 12 2018

STATUS

approved

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Last modified September 30 18:12 EDT 2020. Contains 337440 sequences. (Running on oeis4.)