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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A167592 The second left hand column of triangle A167591. 5
-2, -8, -16, 0, 160, 896, 3584, 12288, 38400, 112640, 315392, 851968, 2236416, 5734400, 14417920, 35651584, 86900736, 209190912, 498073600, 1174405120, 2745171968, 6366953472, 14663286784, 33554432000, 76336332800, 172738215936 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 2..1000

Index entries for linear recurrences with constant coefficients, signature (8,-24,32,-16).

FORMULA

a(n) = 2^n*(n^3 - 6*n^2 + 5*n)/12.

GF(z) = (8*z - 2)/(1-2*z)^4.

a(n) = 8*a(n-1) - 24*a(n-2) + 32*a(n-3) - 16*a(n-4).

a(n) - 7*a(n-1) + 18*a(n-2) - 20*a(n-3) + 8*a(n-4) = 1*2^(n-2).

MATHEMATICA

LinearRecurrence[{8, -24, 32, -16}, {-2, -8, -16, 0}, 100] (* G. C. Greubel, Jun 17 2016 *)

CROSSREFS

Equals the second left hand column of triangle A167591.

Other left hand columns are A001787, A167593, A168307 and A168308.

Sequence in context: A296798 A203419 A173287 * A094513 A110004 A182039

Adjacent sequences:  A167589 A167590 A167591 * A167593 A167594 A167595

KEYWORD

easy,sign

AUTHOR

Johannes W. Meijer, Nov 10 2009

EXTENSIONS

Formulae and links added by Johannes W. Meijer, Nov 23 2009

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 January 23 16:44 EST 2020. Contains 331172 sequences. (Running on oeis4.)