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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A112710 Partial sums of Catalan numbers A000108 multiplied by powers of -3. 2
1, -2, 16, -119, 1015, -9191, 87037, -851186, 8531044, -87167702, 904619302, -9509144240, 101036961052, -1083385595648, 11708378016712, -127402051267703, 1394629704432367, -15347719608268403, 169699299111055897, -1884322608673443833, 21003350078068124587 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Fourth column (m=3) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n)= A112707(n+3, 3), n>=0.

G.f.: c(-3*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

G.f. for unsigned sequence: c(3*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*3^n} and {(-1)^n}, where C(n):=A000108(n).

CROSSREFS

Cf. A064306 (unsigned m=2 case).

Sequence in context: A159324 A088755 A136782 * A046105 A086854 A258683

Adjacent sequences:  A112707 A112708 A112709 * A112711 A112712 A112713

KEYWORD

sign,easy

AUTHOR

Wolfdieter Lang, Oct 31 2005

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 October 20 20:13 EDT 2019. Contains 328272 sequences. (Running on oeis4.)