A185739 Accumulation array of A185738, by antidiagonals.

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

Offset

1,2

Comments

This arrays is a member of a chain; see A185738.

Links

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

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.

Cf. A185738, A185740.

Sequence in context: A242028 A254002 A095729 * A050087 A079325 A284528

Adjacent sequences: A185736 A185737 A185738 * A185740 A185741 A185742

Keyword

nonn,tabl

Author

Clark Kimberling, Feb 02 2011

Status

approved