login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006637 From generalized Catalan numbers.
(Formerly M5005)
1
16, 96, 344, 952, 2241, 4712, 9108, 16488, 28314, 46552, 73788, 113360, 169507, 247536, 354008, 496944, 686052, 932976, 1251568, 1658184, 2172005, 2815384, 3614220, 4598360, 5802030, 7264296, 9029556, 11148064, 13676487, 16678496 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

H. M. Finucan, Some decompositions of generalized Catalan numbers, pp. 275-293 of Combinatorial Mathematics IX. Proc. Ninth Australian Conference (Brisbane, August 1981). Ed. E. J. Billington, S. Oates-Williams and A. P. Street. Lecture Notes Math., 952. Springer-Verlag, 1982.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

FORMULA

G.f.: (2-x)^4/(x-1)^8. - Sean A. Irvine, May 31 2017

CROSSREFS

Cf. A181289

Sequence in context: A277044 A192037 A143060 * A241937 A014344 A239613

Adjacent sequences:  A006634 A006635 A006636 * A006638 A006639 A006640

KEYWORD

nonn,easy

AUTHOR

Simon Plouffe

EXTENSIONS

a(6) and a(8) corrected and more terms from Sean A. Irvine, May 31 2017

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 3 13:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)