|
Search: id:A110427
|
|
|
| A110427 |
|
The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n. e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14 1 2 1 3 3 -3 4 5 0 -14 5 7 3 -10 -35 6 9 6 -6 -30 -69 ... Sequence contains the leading diagonal. |
|
+0
3
|
|
| 1, 1, -3, -14, -35, -69, -119, -188, -279, -395, -539, -714, -923, -1169, -1455, -1784, -2159, -2583, -3059, -3590, -4179, -4829, -5543, -6324, -7175, -8099, -9099, -10178, -11339, -12585, -13919, -15344, -16863, -18479, -20195, -22014, -23939, -25973, -28119, -30380, -32759, -35259, -37883
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
EXAMPLE
|
The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n.
e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14
1
2 1
3 3 -3
4 5 0 -14
5 7 3 -10 -35
6 9 6 -6 -30 -69
...
Sequence contains the leading diagonal.
|
|
MAPLE
|
a:=n->sum(j*n-1, j=0..n):seq(-a(n), n=0..42); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 06 2007
seq(-sum(n^2-2, k=0..n)/2, n=0..42); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 28 2008
|
|
PROGRAM
|
; ; PLT DrScheme (Zucker)
(first (reverse (A110425 n))
; ; see A110425 for definition of that function.
|
|
CROSSREFS
|
Cf. A110425, A110426.
Sequence in context: A081379 A081377 A050934 this_sequence A128916 A130287 A068044
Adjacent sequences: A110424 A110425 A110426 this_sequence A110428 A110429 A110430
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 01 2005
|
|
EXTENSIONS
|
More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 10 2006
|
|
|
Search completed in 0.002 seconds
|
