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!)
A060541 C(4n,4). 3
1, 70, 495, 1820, 4845, 10626, 20475, 35960, 58905, 91390, 135751, 194580, 270725, 367290, 487635, 635376, 814385, 1028790, 1282975, 1581580, 1929501, 2331890, 2794155, 3321960, 3921225, 4598126, 5359095, 6210820, 7160245, 8214570 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harry J. Smith, Table of n, a(n) for n=1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

a(n) = n*(2n-1)*(4n-1)*(4n-3)/3.

a(n) = n * A015219(n-1) = A000332(4n) = A060539(n, 4).

G.f.: x*(1+65*x+155*x^2+35*x^3) / (1-x)^5. - R. J. Mathar, Oct 03 2011

MATHEMATICA

Table[Binomial[4n, 4], {n, 100}] (* Wesley Ivan Hurt, Sep 27 2013 *)

LinearRecurrence[{5, -10, 10, -5, 1}, {1, 70, 495, 1820, 4845}, 40] (* Harvey P. Dale, Jan 13 2015 *)

PROG

(PARI) { for (n=1, 1000, write("b060541.txt", n, " ", n*(2*n - 1)*(4*n - 1)*(4*n - 3)/3); ) } \\ Harry J. Smith, Jul 06 2009

(MAGMA) [Binomial(4 n, 4): n in [1..40]]; // Vincenzo Librandi, Jan 20 2015

CROSSREFS

Cf. A000027, A000384, A006566.

Sequence in context: A154085 A220365 A007330 * A235302 A229576 A234556

Adjacent sequences:  A060538 A060539 A060540 * A060542 A060543 A060544

KEYWORD

nonn,easy

AUTHOR

Henry Bottomley, Apr 02 2001

EXTENSIONS

Offset changed from 0 to 1 by Harry J. Smith, Jul 06 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 17 23:37 EST 2020. Contains 330995 sequences. (Running on oeis4.)