The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A124845 Triangle read by rows: T(n,k) = (3 - (-1)^k)*binomial(n,k)/2 (0 <= k <= n). 1

%I #8 Nov 11 2019 21:49:14

%S 1,1,2,1,4,1,1,6,3,2,1,8,6,8,1,1,10,10,20,5,2,1,12,15,40,15,12,1,1,14,

%T 21,70,35,42,7,2,1,16,28,112,70,112,28,16,1,1,18,36,168,126,252,84,72,

%U 9,2,1,20,45,240,210,504,210,240,45,20,1,1,22,55,330,330,924,462,660,165

%N Triangle read by rows: T(n,k) = (3 - (-1)^k)*binomial(n,k)/2 (0 <= k <= n).

%e First few rows of the triangle:

%e 1;

%e 1, 2;

%e 1, 4, 1;

%e 1, 6, 3, 2;

%e 1, 8, 6, 8, 1;

%e 1, 10, 10, 20, 5, 2;

%e 1, 12, 15, 40, 15, 12, 1;

%e ...

%e Row 3 sum = 12 = (1 + 6 + 3 + 2) = A003945(3).

%p T:=(n,k)->(3-(-1)^k)*binomial(n,k)/2: for n from 0 to 12 do seq(T(n,k),k=0..n) od; # yields sequence in triangular form

%Y Cf. A003945.

%K nonn,tabl

%O 0,3

%A _Gary W. Adamson_, Nov 10 2006

%E Edited by _N. J. A. Sloane_, Nov 24 2006

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 9 13:19 EDT 2023. Contains 363180 sequences. (Running on oeis4.)