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!)
A145138 Main diagonal of square array A145153. 2
0, 1, 2, 6, 20, 71, 259, 960, 3597, 13586, 51635, 197223, 756380, 2910707, 11233311, 43460144, 168502849, 654547456, 2546819347, 9924285801, 38723794820, 151278566731, 591628491483, 2316065644414, 9074988880769, 35587925333525, 139666503235814, 548516611541343 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = [x^n] x/((1-x-x^4)*(1-x)^(n-1)).

MAPLE

a:= n-> coeftayl(x/(1-x-x^4)/(1-x)^(n-1), x=0, n):

seq(a(n), n=0..30);

# second Maple program:

a:= proc(n) option remember; `if`(n<5, n*(n+1)*(n^2-4*n+6)/6,

       a(n-4)+(2*(35*n^3-207*n^2+310*n-78)*a(n-1)-(203*n^3

       -1244*n^2+1891*n-130)*a(n-2)+(2*n-7)*(7*n-19)*n*

       (10*a(n-3)-2*a(n-5)))/((7*n-26)*(n-1)^2))

    end:

seq(a(n), n=0..30);  # Alois P. Heinz, Aug 18 2019

CROSSREFS

Cf. A145153, A000004, A000012, A001477, A000217, A000292, A145126, A145127, A145128, A145129, A145130, A017898, A003269, A098578, A145131, A145132, A145133, A145134, A145135, A145136, A145137.

Sequence in context: A150127 A151286 A047126 * A000707 A129777 A108600

Adjacent sequences:  A145135 A145136 A145137 * A145139 A145140 A145141

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 03 2008

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 May 7 20:36 EDT 2021. Contains 343652 sequences. (Running on oeis4.)