

A110769


The rth term of the nth row of the following triangle contains sum of r successive numbers in decreasing order beginning from T(n)T(r1) where T(n) is the nth triangular number. 1 3 3 6 9 6 10 17 18 10 15 27 33 30 15 ... Sequence contains the triangle by rows.


4



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
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OFFSET

1,2


COMMENTS

The first term in the nth row is T(n) and the nth 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



