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Revision History for A154614

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

A154614

Triangle read by rows where T(m,n) = m*n + m + n - 1, 1<=n<=m.
(history; published version)

#13 by Charles R Greathouse IV at Thu Sep 08 08:45:40 EDT 2022

PROG

(MAGMAMagma) [(n*k + n + k - 1): k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 17 2012

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#12 by Bruno Berselli at Mon Nov 19 18:19:30 EST 2012

STATUS

editing

approved

#11 by Bruno Berselli at Mon Nov 19 18:19:16 EST 2012

COMMENTS

T(m,m)=m^2+2m-1=(2, 7, 14, 23, 34, 47,...)and T(m,m)+2 is a square.

T(m,m)+2 = (m+1)^2.

first First column: A005843; second column: A112414; third column: 2*A020742; fourth column: A016885. - Vincenzo Librandi, Nov 17 2012

STATUS

approved

editing

#10 by Joerg Arndt at Sun Nov 18 12:47:34 EST 2012

STATUS

editing

approved

#9 by Joerg Arndt at Sun Nov 18 12:47:30 EST 2012

COMMENTS

first column: A005843; second column: A112414; third column: 2*A020742; fourth column: A016885. - _Vincenzo Librandi_, Nov 17 2012

second column: A112414;

third column: 2*A020742;

fourth column: A016885. - Vincenzo Librandi, Nov 17 2012

STATUS

proposed

editing

#8 by Vincenzo Librandi at Sat Nov 17 15:14:26 EST 2012

STATUS

editing

proposed

#7 by Vincenzo Librandi at Sat Nov 17 15:13:38 EST 2012

COMMENTS

fourth column: A016885. - _Vincenzo Librandi_, Nov 17 2012

EXAMPLE

20, 31, 42, 53, 64, 75, 86, 97, 108, 119; etc.

CROSSREFS

Cf. A040976, A005843, A112414, A020742, A016885.

#6 by Vincenzo Librandi at Sat Nov 17 15:08:49 EST 2012

LINKS

Vincenzo Librandi, <a href="/A154614/b154614.txt">Table of n, a(n) for Rows n = 1..5050100, flattened</a>

#5 by Vincenzo Librandi at Sat Nov 17 15:06:40 EST 2012

NAME

Triangle read by rows where T(m,n) =mn m*n + m + n - 1, 1<=n<=m.

DATA

2, 4, 7, 6, 10, 14, 8, 13, 18, 23, 10, 16, 22, 28, 34, 12, 19, 26, 33, 40, 47, 14, 22, 30, 38, 46, 54, 62, 16, 25, 34, 43, 52, 61, 70, 79, 18, 28, 38, 48, 58, 68, 7, 78, 88, 98, 20, 31, 42, 53, 64, 75, 86, 97, 108, 119, 22, 34, 46, 58, 70, 82, 94, 106, 118, 130, 142

COMMENTS

first column: A005843;

second column: A112414;

third column: 2*A020742;

fourth column: A016885.

LINKS

Vincenzo Librandi, <a href="/A154614/b154614.txt">Table of n, a(n) for n = 1..5050</a>

MATHEMATICA

t[n_, k_]:=n*k + n + k - 1; Table[t[n, k], {n, 10}, {k, n}]//Flatten (* Vincenzo Librandi, Nov 17 2012 *)

PROG

(MAGMA) [(n*k + n + k - 1): k in [1..n], n in [1..11]]; // Vincenzo Librandi, Nov 17 2012

CROSSREFS

Cf. A040976.

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:38:05 EDT 2012

AUTHOR

_Vincenzo Librandi (vincenzo.librandi(AT)tin.it), _, Jan 16 2009

Discussion

Fri Mar 30

18:38

OEIS Server: https://oeis.org/edit/global/215