The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A358243

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A358243

Number of n-regular, N_0-weighted pseudographs on 2 vertices with total edge weight 3, up to isomorphism.
(history; published version)

#14 by Michael De Vlieger at Fri Dec 02 13:29:04 EST 2022

STATUS

proposed

approved

#13 by Hugo Pfoertner at Fri Dec 02 09:30:02 EST 2022

STATUS

editing

proposed

#12 by Hugo Pfoertner at Fri Dec 02 09:29:22 EST 2022

FORMULA

Apparently a(n) = A258589(n-2) + 2 for n>= 4, i.e., terms satisfy linear recurrence a(n) = a(n-1) + a(n-2) - a(n-3) for n>= 7. - Hugo Pfoertner, Dec 02 2022

CROSSREFS

Cf. A258589.

#11 by Hugo Pfoertner at Fri Dec 02 09:25:44 EST 2022

FORMULA

Apparently a(n) = A258589(n-2) + 2 for n>= 4, i.e., terms satisfy linear recurrence a(n) = a(n-1) + a(n-2) - a(n-3) for n>= 7. - Hugo Pfoertner, Dec 02 2022

STATUS

approved

editing

#10 by N. J. A. Sloane at Sat Nov 19 21:14:36 EST 2022

STATUS

proposed

approved

#9 by Lars Göttgens at Sun Nov 06 08:14:26 EST 2022

STATUS

editing

proposed

Discussion

Sun Nov 06

08:38

Jon E. Schoenfield: Thanks!

Mon Nov 07

04:33

Lars Göttgens: I didn't see the "3 drafts at a time" policy when first submitting them, sorry for that. I will thus only propose them in small portions, learning from the comments on the first ones to make the later ones require less editing.

Wed Nov 09

13:07

Hugo Pfoertner: Haven't you made any attempt at all to find relationships to other sequences, formulas, generating functions, or a relationship to other sequences? Also no references or literature. At the moment your suggestions are just referencing each other, and unfortunately it looks like you only care about seeing the results published here. We are skeptical about such proposals.

Sat Nov 19

21:14

N. J. A. Sloane: I will approve this one.  But please pay attention to Hugo P.'s comments.

#8 by Lars Göttgens at Sun Nov 06 08:11:11 EST 2022

DATA

1, 4, 9, 15, 21, 28, 34, 41, 47, 54, 60, 67, 73, 80, 86, 93, 99, 106, 112, 119, 125, 132, 138, 145, 151, 158, 164, 171, 177, 184, 190, 197, 203, 210, 216, 223, 229, 236, 242, 249, 255, 262, 268, 275, 281, 288, 294, 301, 307, 314, 320, 327, 333, 340, 346, 353

STATUS

proposed

editing

Discussion

Sun Nov 06

08:14

Lars Göttgens: Added period in the Crossrefs section. Added as many terms as there fit in 260 characters.

#7 by Jon E. Schoenfield at Fri Nov 04 17:06:45 EDT 2022

STATUS

editing

proposed

Discussion

Fri Nov 04

17:14

Jon E. Schoenfield: (’Sorry, I meant “at the end of the Crossrefs section”.)

#6 by Jon E. Schoenfield at Fri Nov 04 17:06:37 EDT 2022

STATUS

proposed

editing

#5 by Michel Marcus at Fri Nov 04 16:04:46 EDT 2022

STATUS

editing

proposed

Discussion

Fri Nov 04

16:31

Hugo Pfoertner: Observation: a(n) = A258589(n-2) + 2 for n>= 4.

16:54

Lars Göttgens: @Michel all done

17:06

Jon E. Schoenfield: On your other submissions, you missed the period at the end if the Crossrefs section.