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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A081140 10th binomial transform of (0,0,1,0,0,0,...). 5
0, 0, 1, 30, 600, 10000, 150000, 2100000, 28000000, 360000000, 4500000000, 55000000000, 660000000000, 7800000000000, 91000000000000, 1050000000000000, 12000000000000000, 136000000000000000, 1530000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Starting at 1, the three-fold convolution of A011557 (powers of 10).

Number of n-permutations (n=3) of 11 objects p, q, r, s, t, u, v, w, z, x, y with repetition allowed, containing exactly two u's. - Zerinvary Lajos, May 23 2008

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (30,-300,1000).

FORMULA

a(n) = 30a(n-1) - 300a(n-2) + 1000a(n-3), a(0)=a(1)=0, a(2)=1.

a(n) = 10^(n-2)*binomial(n, 2).

G.f.: x^2/(1-10x)^3.

MAPLE

seq(binomial(n+2, 2)*10^n, n=-2..16); # Zerinvary Lajos, May 23 2008

PROG

(Sage)[lucas_number2(n, 10, 0)*binomial(n, 2)/10 ^2 for n in xrange(0, 18)] # Zerinvary Lajos, Mar 13 2009

(MAGMA) [10^n* Binomial(n+2, 2): n in [-2..20]]; // Vincenzo Librandi, Oct 16 2011

CROSSREFS

Cf. A081139, A081141.

Sequence in context: A028052 A024445 A026308 * A131206 A020982 A024436

Adjacent sequences:  A081137 A081138 A081139 * A081141 A081142 A081143

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 08 2003

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 November 19 03:40 EST 2019. Contains 329310 sequences. (Running on oeis4.)