The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A110427 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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. Sequence contains the leading diagonal.
(history; published version)

#21 by Peter Luschny at Tue Apr 26 10:20:01 EDT 2022

STATUS

reviewed

approved

#20 by Joerg Arndt at Tue Apr 26 03:06:25 EDT 2022

STATUS

proposed

reviewed

#19 by Joerg Arndt at Tue Apr 26 03:06:22 EDT 2022

STATUS

editing

proposed

#18 by Joerg Arndt at Tue Apr 26 03:06:19 EDT 2022

MAPLE

a:=n->sum(j*n-1, j=0..n):seq(-a(n), n=0..42); # Zerinvary Lajos, Feb 06 2007

seq(-sum(n^2-2, k=0..n)/2, n=0..42); # Zerinvary Lajos, Jan 28 2008

STATUS

proposed

editing

#17 by Jon E. Schoenfield at Tue Apr 26 00:52:44 EDT 2022

STATUS

editing

proposed

#16 by Jon E. Schoenfield at Tue Apr 26 00:52:42 EDT 2022

EXAMPLE

1

2 1

3 3 -3

4 5 0 -14

5 7 3 -10 -35

6 9 6 -6 -30 -69

...

STATUS

proposed

editing

#15 by Michel Marcus at Tue Apr 26 00:41:46 EDT 2022

STATUS

editing

proposed

#14 by Michel Marcus at Tue Apr 26 00:41:04 EDT 2022

NAME

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.

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.

PROG

; ; (PLT DrScheme (Zucker)

-- Joshua Zucker, May 10 2006

STATUS

approved

editing

Discussion

Tue Apr 26

00:41

Michel Marcus: ok ?

#13 by N. J. A. Sloane at Sat Jan 19 22:44:58 EST 2019

STATUS

proposed

approved

#12 by Jon E. Schoenfield at Sat Jan 19 22:42:17 EST 2019

STATUS

editing

proposed