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A185781 Accumulation array of A185780, by antidiagonals. 3

%I #10 Jul 13 2017 03:07:35

%S 1,5,2,14,12,3,30,36,21,4,55,80,66,32,5,91,150,150,104,45,6,140,252,

%T 285,240,150,60,7,204,392,483,460,350,204,77,8,285,576,756,784,675,

%U 480,266,96,9,385,810,1116,1232,1155,930,630,336,117,10,506,1100,1575,1824,1820,1596,1225,800,414,140,11,650,1452,2145,2580,2700,2520,2107,1560,990,500,165,12

%N Accumulation array of A185780, by antidiagonals.

%C See A144112 and A185780.

%H G. C. Greubel, <a href="/A185781/b185781.txt">Table of n, a(n) for the first 50 rows, flattened</a>

%F T(n,k) = k*(k+1)*n*(k*n-n+k+2)/6, k>=1, n>=1.

%e Northwest corner:

%e 1.....5....14....30....55

%e 2.....12...36....80....150

%e 3.....21...66....150...285

%e 4.....32...104...240...460

%e 5.....45...150...350...675

%t (See A185780.)

%t f[n_, k_] := k*(k + 1)*n*(k*n - n + k + 2)/6; Table[f[n - k + 1, k], {n, 10}, {k, n, 1, -1}] // Flatten (* _G. C. Greubel_, Jul 12 2017 *)

%Y Cf. A144112, A185780.

%Y Columns 1 to 4: A000027, A028347, 2*A033537, 10*A005563.

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Feb 03 2011

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)