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A300705 Triangle T(n,k) read by rows: the number of n-node connected graphs with k components with no cycles of length less than 5. 1
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 4, 3, 2, 1, 1, 0, 8, 7, 4, 2, 1, 1, 0, 18, 14, 8, 4, 2, 1, 1, 0, 47, 33, 17, 9, 4, 2, 1, 1, 0, 137, 81, 40, 18, 9, 4, 2, 1, 1, 0, 464, 228, 98, 43, 19, 9, 4, 2, 1, 1, 0, 1793, 716, 269, 105, 44, 19, 9, 4, 2, 1, 1, 0, 8167, 2596, 827, 287, 108, 45, 19, 9, 4, 2, 1, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

Multiset transform of A126757.

LINKS

Table of n, a(n) for n=0..91.

EXAMPLE

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

1;

0 1

0 1 1

0 1 1 1

0 2 2 1 1

0 4 3 2 1 1

0 8 7 4 2 1 1

0 18 14 8 4 2 1 1

0 47 33 17 9 4 2 1 1

0 137 81 40 18 9 4 2 1 1

0 464 228 98 43 19 9 4 2 1 1

0 1793 716 269 105 44 19 9 4 2 1 1

0 8167 2596 827 287 108 45 19 9 4 2 1 1

0 43645 11030 2904 870 294 109 45 19 9 4 2 1 1

0 275480 55628 11992 3022 888 297 110 45 19 9 4 2 1 1

0 2045279 334676 58968 12320 3066 895 298 110 45 19 9 4 2 1 1

0 17772647 2395216 348166 59991 12440 3084 898 299 110 45 19 9 4 2 1 1

CROSSREFS

Cf. A126757 (column k=1), A006787 (row sums)

Sequence in context: A039801 A105821 A004564 * A144157 A321400 A004562

Adjacent sequences:  A300702 A300703 A300704 * A300706 A300707 A300708

KEYWORD

nonn,tabl

AUTHOR

R. J. Mathar, Mar 12 2018

STATUS

approved

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Last modified March 31 01:45 EDT 2020. Contains 333133 sequences. (Running on oeis4.)