login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A054340 10-fold convolution of A000302 (powers of 4). 3
1, 40, 880, 14080, 183040, 2050048, 20500480, 187432960, 1593180160, 12745441280, 96865353728, 704475299840, 4931327098880, 33381291130880, 219362770288640, 1403921729847296, 8774510811545600, 53679360258867200 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

With a different offset, number of n-permutations (n>=9) of 5 objects: u, v, z, x, y with repetition allowed, containing exactly nine (9) u's. - Zerinvary Lajos, Jul 02 2008

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

FORMULA

a(n) = binomial(n+9, 9)*4^n; G.f. 1/(1-4*x)^10 . a(n)= A054335(n+19, 19).

MAPLE

seq(binomial(n+9, 9)*4^n, n=0..20); - Zerinvary Lajos, Jul 02 2008

PROG

(Sage) [lucas_number2(n, 4, 0)*binomial(n, 9)/2^18 for n in xrange(9, 26)]# [From Zerinvary Lajos, Mar 11 2009]

(MAGMA) [4^n*Binomial(n+9, 9): n in [0..30]]; // Vincenzo Librandi, Oct 15 2011

CROSSREFS

Cf. A000302, A054335.

Sequence in context: A247411 A250986 A190825 * A271030 A013350 A013346

Adjacent sequences:  A054337 A054338 A054339 * A054341 A054342 A054343

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang, Mar 13 2000

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 3 21:14 EST 2016. Contains 278745 sequences.