This site is supported by donations to The OEIS Foundation.



Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A185508 Third accumulation array, T, of the natural number array A000027, by antidiagonals. 5


%S 1,5,6,16,29,21,41,89,99,56,91,219,295,259,126,182,469,705,755,574,

%T 252,336,910,1470,1765,1645,1134,462,582,1638,2786,3605,3780,3206,

%U 2058,792,957,2778,4914,6706,7595,7266,5754,3498,1287,1507,4488,8190,11634,13916,14406,12894,9690,5643,2002,2288,6963,13035,19110,23814,26068,25284,21510,15510,8723,3003,3367,10439,19965,30030,38640,44100

%N Third accumulation array, T, of the natural number array A000027, by antidiagonals.

%C See A144112 (and A185506) for the definition of accumulation array (aa). A185508=aa(aa(aa(A000027))).

%C Column 1: A000389.

%F T(n,k)=F*(4n^2+(5k+23)n+4k^2+3k+41), where

%F F=k(k+1)(k+2)n(n+1)(n+2)/2880.

%e Northwest corner:

%e 1.....5....16....41....91...182

%e 6....29....89...219...469...910

%e 21...99...295...705..1470..2786

%e 56..259...755..1765..3605..6706

%t h[n_,k_]:=k(k+1)(k+2)n(n+1)(n+2)*(4n^2+(5k+23)n+4k^2+3k+41)/2880;

%t TableForm[Table[h[n,k],{n,1,10},{k,1,15}]]

%t Table[h[n-k+1,k],{n,14},{k,n,1,-1}]//Flatten

%Y Cf. A000027, A185506, A185507, A185509.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Jan 29 2011

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

Content is available under The OEIS End-User License Agreement .

Last modified December 19 03:55 EST 2014. Contains 252175 sequences.