cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A185878 Accumulation array of A185877, by antidiagonals.

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%I A185878 #12 Jul 21 2017 03:15:02
%S A185878 1,4,2,11,10,3,24,28,18,4,45,60,51,28,5,76,110,108,80,40,6,119,182,
%T A185878 195,168,115,54,7,176,280,318,300,240,156,70,8,249,408,483,484,425,
%U A185878 324,203,88,9,340,570,696,728,680,570,420,256,108,10,451,770,963,1040,1015,906,735,528,315,130,11,584,1012,1290,1428,1440,1344,1162,920,648,380,154,12
%N A185878 Accumulation array of A185877, by antidiagonals.
%C A185878 A member of the accumulation chain ... < A185879 < A185877 < A185878 < A185880 < ...
%C A185878 See A144112 for the definition of accumulation array.
%H A185878 G. C. Greubel, <a href="/A185878/b185878.txt">Table of n, a(n) for the first 50 rows, flattened</a>
%F A185878 T(n,k) = k*n*(2*k^2 -3*k +3*k*n -3*n +7)/6, k>=1, n>=1.
%e A185878 Northwest corner:
%e A185878   1,  4, 11,  24,  45, ...
%e A185878   2, 10, 28,  60, 110, ...
%e A185878   3, 18, 51, 108, 195, ...
%e A185878   4, 28, 80, 168, 300, ...
%e A185878   ...
%t A185878 f[n_, k_] := k*n*(2*k^2 - 3*k + 3*k*n - 3*n + 7)/6; Table[f[n - k + 1, k], {n,10}, {k, n, 1, -1}] // Flatten (* _G. C. Greubel_, Jul 21 2017 *)
%Y A185878 Cf. A144112, A185877, A185879.
%Y A185878 Row 1 to 3: A006527, A006331, A064043.
%Y A185878 Column 1 to 5: A000027, A028552, A140677, 12*A000096, 5*A130861.
%K A185878 nonn,tabl
%O A185878 1,2
%A A185878 _Clark Kimberling_, Feb 05 2011