login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A member of the accumulation chain ... < A185879 < A185877 < A185878 < A185880 < ...

See A144112 for the definition of accumulation array.

LINKS

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

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

Cf. A144112, A185877, A185879.

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

Adjacent sequences:  A185875 A185876 A185877 * A185879 A185880 A185881

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Feb 05 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 10 14:17 EDT 2020. Contains 335576 sequences. (Running on oeis4.)