The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A056243 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A056243

Third diagonal of triangle A056242.
(history; published version)

#24 by Wesley Ivan Hurt at Fri Jul 29 22:26:55 EDT 2022

STATUS

editing

approved

#23 by Wesley Ivan Hurt at Fri Jul 29 22:26:27 EDT 2022

FORMULA

a(n) = sum_Sum_{0<=j<=n-3} (-1)^(n-3-j)*binomial(n-3, j)*binomial(n+2j-1, 2j), for n>=3. - Pab Ter (pabrlos2(AT)yahoo.com), Nov 06 2005

CROSSREFS

Cf. A056242.

STATUS

approved

editing

#22 by Bruno Berselli at Tue Sep 04 03:35:50 EDT 2018

STATUS

reviewed

approved

#21 by Joerg Arndt at Tue Sep 04 03:02:28 EDT 2018

STATUS

proposed

reviewed

#20 by Joerg Arndt at Tue Sep 04 03:02:24 EDT 2018

STATUS

editing

proposed

#19 by Joerg Arndt at Tue Sep 04 03:02:20 EDT 2018

MAPLE

seq(add((-1)^(n-3-j)*binomial(n-3, j)*binomial(n+2*j-1, 2*j), j=0..n-3), n=3..40); # first # Pab Ter (pabrlos2(AT)yahoo.com), Nov 06 2005

#18 by Joerg Arndt at Tue Sep 04 03:01:26 EDT 2018

MAPLE

T:=proc(n, k) local j: if k=1 then 1 elif k<=n then add((-1)^(k-1-j)*binomial(k-1, j)*binomial(n+2*j-1, 2*j), j=0..k-1) else 0 fi end: seq(T(n, n-2), n=3..40); # 2nd # Pab Ter (pabrlos2(AT)yahoo.com), Nov 06 2005

STATUS

proposed

editing

#17 by Michel Marcus at Tue Sep 04 00:54:18 EDT 2018

STATUS

editing

proposed

#16 by Michel Marcus at Tue Sep 04 00:51:58 EDT 2018

MAPLE

seq(add((-1)^(n-3-j)*binomial(n-3, j)*binomial(n+2*j-1, 2*j), j=0..n-3), n=3..40); # first T:=proc(n, k) local j: if k=1 then 1 elif k<=n then add((-1)^(k-1-j)*binomial(k-1, j)*binomial(n+2*j-1, 2*j), j=0..k-1) else 0 fi end: seq(T(n, n-2), n=3..40); # 2nd # Pab Ter (pabrlos2(AT)yahoo.com), Nov 06 2005

STATUS

proposed

editing

Discussion

Tue Sep 04

00:52

Michel Marcus: ah yes ... better like this ?

00:54

Michel Marcus: replace first by 1st program ? and 2nd by 2nd program ? ... are these labels really necessary ??

#15 by Michel Marcus at Tue Sep 04 00:32:14 EDT 2018

STATUS

editing

proposed

Discussion

Tue Sep 04

00:40

Jon E. Schoenfield: I'm confused now.  I don't know Maple, but is the code "first T:=proc(n, k) local j:", etc., commented out because of the "#" character that precedes it?