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!)
A277299 Central terms of triangle A277295 in even-indexed rows; a(n) = A277295(2*n,n-1). 4
1, 14, 698, 56410, 6036632, 784844330, 118467338692, 20204403241014, 3825143045741850, 794096638401382028, 179152196191253429864, 43621984527307144281094, 11400895235718650585287660, 3183846191638117842792003252, 946381984098376099573619213864, 298412976572690317096982653746772 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
G.f. G(x,y) of triangle A277295 satisfies:
(1) G(x,y) = x + G( y*G(x,y) + (1-y)*x, y)^2.
(2) G( x - y*G(x,y)^2, y) = x + (1-y)*G(x,y)^2.
LINKS
PROG
(PARI) {A277295(n, k) = my(A=x); for(i=1, n, A = x + subst(A^2, x, y*A + (1-y)*x +x*O(x^n)) ); polcoeff(polcoeff(A, n, x), k, y)}
for(n=1, 20, print1(A277295(2*n, n-1), ", "))
CROSSREFS
Sequence in context: A233078 A223129 A303288 * A233506 A103426 A203750
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 11 2016
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 19 06:35 EDT 2024. Contains 372666 sequences. (Running on oeis4.)