The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A330470 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A330470

Number of non-isomorphic series/singleton-reduced rooted trees on a multiset of size n.
(history; published version)

#15 by Alois P. Heinz at Mon Dec 21 19:33:06 EST 2020

STATUS

proposed

approved

#14 by Andrew Howroyd at Mon Dec 21 19:32:29 EST 2020

STATUS

editing

proposed

#13 by Andrew Howroyd at Mon Dec 21 19:31:27 EST 2020

PROG

(PARI) \\ tbdSee links in A339645 for combinatorial species functions.

#12 by Andrew Howroyd at Fri Dec 11 19:32:11 EST 2020

DATA

1, 1, 2, 7, 39, 236, 1836, 16123, 162008, 1802945, 22012335, 291290460, 4144907830, 62986968311, 1016584428612, 17344929138791, 311618472138440, 5875109147135658, 115894178676866576, 2385755803919949337, 51133201045333895149, 1138659323863266945177, 26296042933904490636133

PROG

(PARI) \\ tbd

cycleIndexSeries(n)={my(v=vector(n)); v[1]=sv(1); for(n=2, #v, v[n] = polcoef( sEulerT(x*Ser(v[1..n])), n )); x*Ser(v)}

InequivalentColoringsSeq(cycleIndexSeries(15)) \\ Andrew Howroyd, Dec 11 2020

CROSSREFS

Row sums of A339645.

KEYWORD

nonn,more

nonn

EXTENSIONS

Terms a(7) and beyond from Andrew Howroyd, Dec 11 2020

STATUS

approved

editing

Discussion

Sat Dec 19

00:14

OEIS Server: This sequence has not been edited or commented on for a week
yet is not proposed for review.  If it is ready for review, please
visit https://oeis.org/draft/A330470 and click the button that reads
"These changes are ready for review by an OEIS Editor."

Thanks.
  - The OEIS Server

#11 by N. J. A. Sloane at Sun Jan 05 12:03:52 EST 2020

STATUS

proposed

approved

#10 by Gus Wiseman at Tue Dec 31 10:27:21 EST 2019

STATUS

editing

proposed

#9 by Gus Wiseman at Mon Dec 30 23:42:26 EST 2019

CROSSREFS

The case with all atoms equal or all atoms different is A000669.

The case with all atoms different is A004114.

STATUS

approved

editing

#8 by Susanna Cuyler at Tue Dec 24 17:30:15 EST 2019

STATUS

proposed

approved

#7 by Gus Wiseman at Tue Dec 24 17:13:17 EST 2019

STATUS

editing

proposed

#6 by Gus Wiseman at Tue Dec 24 12:16:07 EST 2019

CROSSREFS

Labeled versions are A316651 (normal orderless) and A330471 (strongly normal).