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A185781 Accumulation array of A185780, by antidiagonals. 3
1, 5, 2, 14, 12, 3, 30, 36, 21, 4, 55, 80, 66, 32, 5, 91, 150, 150, 104, 45, 6, 140, 252, 285, 240, 150, 60, 7, 204, 392, 483, 460, 350, 204, 77, 8, 285, 576, 756, 784, 675, 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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A144112 and A185780.

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

FORMULA

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

EXAMPLE

Northwest corner:

1.....5....14....30....55

2.....12...36....80....150

3.....21...66....150...285

4.....32...104...240...460

5.....45...150...350...675

MATHEMATICA

(See A185780.)

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 *)

CROSSREFS

Cf. A144112, A185780.

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

Sequence in context: A194008 A060422 A213751 * A265434 A189236 A341515

Adjacent sequences:  A185778 A185779 A185780 * A185782 A185783 A185784

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Feb 03 2011

STATUS

approved

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Last modified June 21 19:12 EDT 2021. Contains 345365 sequences. (Running on oeis4.)