A110769 The r-th term of the n-th row of the following triangle contains sum of r successive numbers in decreasing order beginning from T(n)-T(r-1) where T(n) is the n-th triangular number. 1 3 3 6 9 6 10 17 18 10 15 27 33 30 15 ... Sequence contains the triangle by rows.

1, 3, 3, 6, 9, 6, 10, 17, 18, 10, 15, 27, 33, 30, 15, 21, 39, 51, 54, 45, 21, 28, 53, 72, 82, 80, 63, 28, 36, 69, 96, 114, 120, 111, 84, 36, 45, 87, 123, 150, 165, 165, 147, 108, 45, 55, 107, 153, 190, 215, 225, 217, 188, 135, 55, 66, 129, 186, 234, 270, 291, 294, 276

Offset

1,2

Comments

The first term in the n-th row is T(n) and the n-th term also is T(n). - Joshua Zucker, Dec 14 2005

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

For n = 4 the terms of the 4th row are 10, 9+8, 7+6+5, 4+3+2+1.

Mathematica

Table[Total/@TakeList[Range[(n(n+1))/2, 1, -1], Range[n]], {n, 20}]//Flatten (* Requires Mathematica version 11 or later *) (* Harvey P. Dale, Jul 08 2018 *)

Crossrefs

Cf. A110768.

Sequence in context: A205970 A104715 A164743 * A093445 A098358 A136289

Adjacent sequences: A110766 A110767 A110768 * A110770 A110771 A110772

Keyword

easy,tabl,nonn

Author

Amarnath Murthy, Aug 12 2005

Extensions

Corrected and extended by Joshua Zucker, Dec 14 2005

Status

approved