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A185878
Accumulation array of A185877, by antidiagonals.
4
1, 4, 2, 11, 10, 3, 24, 28, 18, 4, 45, 60, 51, 28, 5, 76, 110, 108, 80, 40, 6, 119, 182, 195, 168, 115, 54, 7, 176, 280, 318, 300, 240, 156, 70, 8, 249, 408, 483, 484, 425, 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
OFFSET
1,2
COMMENTS
A member of the accumulation chain ... < A185879 < A185877 < A185878 < A185880 < ...
See A144112 for the definition of accumulation array.
FORMULA
T(n,k) = k*n*(2*k^2 -3*k +3*k*n -3*n +7)/6, k>=1, n>=1.
EXAMPLE
Northwest corner:
1, 4, 11, 24, 45, ...
2, 10, 28, 60, 110, ...
3, 18, 51, 108, 195, ...
4, 28, 80, 168, 300, ...
...
MATHEMATICA
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 *)
CROSSREFS
Row 1 to 3: A006527, A006331, A064043.
Column 1 to 5: A000027, A028552, A140677, 12*A000096, 5*A130861.
Sequence in context: A318784 A154699 A213568 * A182870 A094406 A142706
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Feb 05 2011
STATUS
approved