The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A097808 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A097808

Riordan array ((1+2x)/(1+x)^2, 1/(1+x)) read by rows.
(history; published version)

#15 by Alois P. Heinz at Tue Jul 16 10:38:28 EDT 2019

STATUS

proposed

approved

#14 by Robert Israel at Tue Jul 16 10:18:27 EDT 2019

STATUS

editing

proposed

#13 by Robert Israel at Tue Jul 16 10:18:13 EDT 2019

MAPLE

T:= proc(n, k) option remember;

if k < 0 or k > n then return 0 fi;

procname (n-1, k-1)-3*procname(n-1, k)+2*procname(n-2, k-1)-3*procname(n-2, k)+

procname(n-3, k-1)-procname(n-3, k)

end proc:

T(0, 0):= 1: T(1, 1):= 1: T(2, 2):= 1:

T(1, 0):= 0: T(2, 0):= -1: T(2, 1):= -1:

seq(seq(T(n, k), k=0..n), n=0..12); # Robert Israel, Jul 16 2019

STATUS

proposed

editing

#12 by Robert Israel at Tue Jul 16 10:16:29 EDT 2019

STATUS

editing

proposed

#11 by Robert Israel at Tue Jul 16 10:15:46 EDT 2019

LINKS

Robert Israel, <a href="/A097808/b097808.txt">Table of n, a(n) for n = 0..10010</a> (rows 0 to 140, flattened)

STATUS

approved

editing

#10 by Peter Luschny at Tue Jul 16 09:53:45 EDT 2019

STATUS

proposed

approved

#9 by Jean-François Alcover at Tue Jul 16 09:51:49 EDT 2019

STATUS

editing

proposed

Discussion

Tue Jul 16

09:52

Jean-François Alcover: Completed last row of data.

#8 by Jean-François Alcover at Tue Jul 16 09:51:44 EDT 2019

DATA

1, 0, 1, -1, -1, 1, 2, 0, -2, 1, -3, 2, 2, -3, 1, 4, -5, 0, 5, -4, 1, -5, 9, -5, -5, 9, -5, 1, 6, -14, 14, 0, -14, 14, -6, 1, -7, 20, -28, 14, 14, -28, 20, -7, 1, 8, -27, 48, -42, 0, 42, -48, 27, -8, 1, -9, 35, -75, 90, -42, -42, 90, -75, 35, -9, 1, 10, -44, 110, -165, 132, 0, -132, 165, -110, 44, -10, 1

MATHEMATICA

(* The function RiordanArray is defined in A256893. *)

RiordanArray[(1 + 2 #)/(1 + #)^2&, #/(1 + #)&, 12] // Flatten (* Jean-François Alcover, Jul 16 2019 *)

STATUS

approved

editing

#7 by Joerg Arndt at Sun Jan 12 11:29:09 EST 2014

STATUS

proposed

approved

#6 by Philippe Deléham at Sun Jan 12 01:52:35 EST 2014

STATUS

editing

proposed