login
This site is supported by donations to The OEIS Foundation.

 

Logo

The October issue of the Notices of the Amer. Math. Soc. has an article about the OEIS.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064059 Seventh column of Catalan triangle A009766. 7
132, 429, 1001, 2002, 3640, 6188, 9996, 15504, 23256, 33915, 48279, 67298, 92092, 123970, 164450, 215280, 278460, 356265, 451269, 566370, 704816, 870232, 1066648, 1298528, 1570800, 1888887, 2258739, 2686866, 3180372, 3746990, 4395118, 5133856, 5973044 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..32.

R. K. Guy, Catwalks, sandsteps and Pascal pyramids, J. Integer Sequences, Vol. 3 (2000), Article #00.1.6

FORMULA

G.f.: (132-495*x+770*x^2-616*x^3+252*x^4-42*x^5)/(1-x)^7; numerator polynomial is N(2;5, x) from A062991.

a(n) = A009766(n+6, 6) = (n+1)*binomial(n+12,5)/6.

a(n) = binomial(n+1,6)-2*binomial(n,5), for n>=12. - Zerinvary Lajos, Jul 19 2006

a(n) = A214292(n+11,5). - Reinhard Zumkeller, Jul 12 2012

MAPLE

[seq(binomial(n+1, 6)-2*binomial(n, 5), n=12..55)]; # Zerinvary Lajos, Jul 19 2006

MATHEMATICA

CoefficientList[Series[(42 z^5-252 z^4+616 z^3-770 z^2+495 z-132)/(z-1)^7, {z, 0, 200}], z] (* Vladimir Joseph Stephan Orlovsky, Jun 22 2011 *)

CROSSREFS

Cf. A000096, A005586, A005587, A005557 (third to sixth column).

Sequence in context: A116154 A305067 A278128 * A244103 A248555 A253502

Adjacent sequences:  A064056 A064057 A064058 * A064060 A064061 A064062

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 13 2001

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 25 15:23 EDT 2018. Contains 315392 sequences. (Running on oeis4.)