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!)
A006636 From generalized Catalan numbers.
(Formerly M4516)
1
8, 36, 102, 231, 456, 819, 1372, 2178, 3312, 4862, 6930, 9633, 13104, 17493, 22968, 29716, 37944, 47880, 59774, 73899, 90552, 110055, 132756, 159030, 189280, 223938, 263466, 308357, 359136, 416361, 480624, 552552, 632808, 722092, 821142, 930735 (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..35.

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

a(n) = (n + 1) * (n + 2) * (n + 4) * (n + 8) * (n + 15) / 120. - Sean A. Irvine, May 30 2017

G.f: (2-x)^3 / (x-1)^6. - Sean A. Irvine, May 30 2017

CROSSREFS

Cf. A181289.

Sequence in context: A245360 A032768 A224410 * A325656 A092365 A014343

Adjacent sequences:  A006633 A006634 A006635 * A006637 A006638 A006639

KEYWORD

nonn,easy

AUTHOR

Simon Plouffe

EXTENSIONS

a(6) and a(8) corrected and more terms from Sean A. Irvine, May 30 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 12 12:20 EDT 2020. Contains 336439 sequences. (Running on oeis4.)