|
| |
|
|
A141480
|
|
Binomial(n+2,3)*5^3.
|
|
0
|
|
|
|
125, 500, 1250, 2500, 4375, 7000, 10500, 15000, 20625, 27500, 35750, 45500, 56875, 70000, 85000, 102000, 121125, 142500, 166250, 192500, 221375, 253000, 287500, 325000, 365625, 409500, 456750, 507500, 561875, 620000, 682000, 748000, 818125
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
Table of n, a(n) for n=1..33.
|
|
|
FORMULA
|
G.f.: 125*x / (1-x)^4.
a(n) = C(n+2,3)*5^3, n>=1.
a(1)=125, a(2)=500, a(3)=1250, a(4)=2500, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - Harvey P. Dale, Oct 20 2012
|
|
|
MAPLE
|
seq(binomial(n+2, 3)*5^3, n=1..44);
|
|
|
MATHEMATICA
|
With[{c=5^3}, c*Binomial[Range[40]+2, 3]] (* Harvey P. Dale, Oct 20 2012 *)
LinearRecurrence[ {4, -6, 4, -1}, {125, 500, 1250, 2500}, 40] (* Harvey P. Dale, Oct 20 2012 *)
|
|
|
CROSSREFS
|
Sequence in context: A161855 A045184 A059470 * A155986 A128993 A061450
Adjacent sequences: A141477 A141478 A141479 * A141481 A141482 A141483
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 09 2008
|
|
|
EXTENSIONS
|
Offset corrected by Harvey P. Dale, Oct 20 2012
|
|
|
STATUS
|
approved
|
| |
|
|
