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!)
A167567 The fourth left hand column of triangle A167565. 4
0, 14, 124, 601, 2120, 6096, 15168, 33858, 69432, 132990, 240812, 415987, 690352, 1106768, 1721760, 2608548, 3860496, 5595006, 7957884, 11128205, 15323704, 20806720, 27890720, 36947430, 48414600, 62804430, 80712684 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 4..1000

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

FORMULA

a(n) = (27*n^7 - 287*n^6 + 1113*n^5 - 1925*n^4 + 1428*n^3 - 308*n^2 - 48*n)/7!.

G.f.: (1*z^3 + 12*z^2 + 14*z + 0)/(1-z)^8.

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8).

a(n) - 7*a(n-1) + 21*a(n-2) - 35*a(n-3) + 35*a(n-4) - 21*a(n-5) + 7*a(n-6) - a(n-7) = 27.

MATHEMATICA

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 14, 124, 601,

  2120, 6096, 15168, 33858}, 100] (* G. C. Greubel, Jun 16 2016 *)

CROSSREFS

Equals the fourth left hand column of triangle A167565.

Other left hand columns are A000027, A000292, A167566 and A168304.

Sequence in context: A206628 A235710 A239544 * A188411 A125377 A147590

Adjacent sequences:  A167564 A167565 A167566 * A167568 A167569 A167570

KEYWORD

easy,nonn

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 August 14 19:09 EDT 2020. Contains 336483 sequences. (Running on oeis4.)