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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A205550 Symmetric matrix by antidiagonals: C(max(g(i),g(j)),min(g(i),g(j)), where g(k)=2k-1. 0

%I

%S 1,3,3,5,1,5,7,10,10,7,9,35,1,35,9,11,84,21,21,84,11,13,165,126,1,126,

%T 165,13,15,286,462,36,36,462,286,15,17,455,1287,330,1,330,1287,455,17,

%U 19,680,3003,1716,55,55,1716,3003,680,19,21,969,6188,6435,715

%N Symmetric matrix by antidiagonals: C(max(g(i),g(j)),min(g(i),g(j)), where g(k)=2k-1.

%e Northwest corner:

%e 1....3....5....7....9....11

%e 3....1....10...35...84...165

%e 5....10...1....21...126..462

%e 7....35...21...1....36...330

%t g[k_] := 2 k - 1;

%t f[i_, j_] := Binomial[Max[g[i], g[j]], Min[g[i], g[j]]]

%t TableForm[Table[f[i, j], {i, 1, 10}, {j, 1, 10}]]

%t Flatten[Table[f[i, n + 1 - i], {n, 1, 14}, {i, 1, n}]]

%Y Cf. A205456.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Jan 28 2012

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 27 15:07 EST 2022. Contains 350607 sequences. (Running on oeis4.)