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!)
A123850 Triangle read by rows: T(n,k) = orientable embedding number gamma_k for bouquet B_n, n >= 0, 0 <= k <= [n/2]. 1

%I #5 Dec 07 2020 12:37:30

%S 1,1,4,2,40,80,672,3360,1008,16128,161280,185472

%N Triangle read by rows: T(n,k) = orientable embedding number gamma_k for bouquet B_n, n >= 0, 0 <= k <= [n/2].

%D Jonathan L. Gross and Thomas W. Tucker, Enumerating graph embeddings and partial-duals by genus and Euler genus, ECA 1:1 (2021) Article S2S1. See Table 1. (Beware errors!)

%D J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 2004; p. 649.

%F Reference gives a recurrence.

%e Triangle begins:

%e 1

%e 1

%e 4 2

%e 40 80

%e 672 3360 1008

%e 16128 161280 185472

%Y Columns give A005431, A123828. Row sums are (2n-1)1.

%K nonn,tabf,more

%O 0,3

%A _N. J. A. Sloane_, Nov 19 2006

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 April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)