login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317981 Expansion of x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8. 5
125, 9028, 110961, 684176, 2871325, 9402660, 25872833, 62572096, 136972701, 276971300, 524988145, 943023888, 1618774781, 2672907076, 4267591425, 6616398080, 9995653693, 14757360516, 21343778801, 30303773200, 42311023965, 58184203748, 78909220801 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Seems to be the negative of the first column of A316387.

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

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

FORMULA

G.f.: x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8.

a(n) = 20*n^7 + 70*n^6 + 70*n^5 - 28*n^3 - 7*n^2.

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) for n>8.

PROG

(PARI) Vec(x*(125 + 8028*x + 42237*x^2 + 42272*x^3 + 8007*x^4 + 132*x^5 - x^6) / (1 - x)^8 + O(x^40))

(PARI) a(n) = 20*n^7 + 70*n^6 + 70*n^5 - 28*n^3 - 7*n^2

CROSSREFS

Cf. A316387, A317982, A317983, A317984.

Sequence in context: A102076 A223229 A030695 * A223259 A347510 A275296

Adjacent sequences:  A317978 A317979 A317980 * A317982 A317983 A317984

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Aug 13 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 21 19:42 EDT 2022. Contains 353929 sequences. (Running on oeis4.)