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A185739 Accumulation array of A185738, by antidiagonals. 3
1, 3, 4, 6, 10, 11, 10, 18, 25, 26, 15, 28, 42, 56, 57, 21, 40, 62, 90, 119, 120, 28, 54, 85, 128, 186, 246, 247, 36, 70, 111, 170, 258, 378, 501, 502, 45, 88, 140, 216, 335, 516, 762, 1012, 1013, 55, 108, 172, 266, 417, 660, 1030, 1530, 2035, 2036, 66, 130, 207, 320, 504, 810, 1305, 2056, 3066, 4082, 4083, 78, 154, 245, 378, 596, 966, 1587, 2590, 4106, 6138, 8177, 8178, 91 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
This arrays is a member of a chain; see A185738.
LINKS
FORMULA
T(n,k) = k*(4*(2^n-1)+(k-3)*n), k>=1, n>=1.
EXAMPLE
Northwest corner:
1....3....6....10....15
4....10...18...28....40
11...25...42...62....85
26...56...90...128...170
MATHEMATICA
(* See A185738 *)
f[n_, k_] := (k/2)*(4*(2^n - 1) + (k - 3)*n);
TableForm[Table[f[n, k], {n, 1, 10}, {k, 1, 10}]] (* Array A185739 *)
Table[f[n - k + 1, k], {n, 10}, {k, n, 1, -1}] // Flatten (* G. C. Greubel, Jul 11 2017 *)
CROSSREFS
Rows 1 to 4: A000217, A028562, A140675, 2*A098847
Columns 1 to 3: A000295, A000247, A068293.
Sequence in context: A242028 A254002 A095729 * A050087 A079325 A284528
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Feb 02 2011
STATUS
approved

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Last modified August 18 17:33 EDT 2024. Contains 375269 sequences. (Running on oeis4.)