The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A099704 Consider the family of multigraphs enriched by the species of directed graphs. Sequence gives number of those multigraphs with n labeled edges. 2
1, 2, 24, 776, 79840, 35397440, 69619053504, 564929183555840, 18464894708236907776, 2418517115222622481308160, 1267747370909677813160722947072, 2658511777246500251150215101758228480, 22300872810108738542496498718468714032205824 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004.
LINKS
G. Paquin, Dénombrement de multigraphes enrichis, Mémoire, Math. Dept., Univ. Québec à Montréal, 2004. [Cached copy, with permission]
FORMULA
E.g.f.: B(R(x)) where B(x) is the e.g.f. of A014500 and 1 + R(x) is the e.g.f. of A002416. - Andrew Howroyd, Jan 12 2021
PROG
(PARI) \\ R(n) is A002416 as e.g.f.; EnrichedGnSeq defined in A098620.
R(n)={sum(k=0, n, 2^(k^2)*x^k/k!) + O(x*x^n)}
EnrichedGnSeq(R(15)) \\ Andrew Howroyd, Jan 12 2021
CROSSREFS
Sequence in context: A274634 A292694 A012128 * A265879 A339946 A172492
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 26 2004
EXTENSIONS
Terms a(10) and beyond from Andrew Howroyd, Jan 12 2021
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 29 00:29 EDT 2024. Contains 372921 sequences. (Running on oeis4.)