login
Triangle read by rows: T(m,n) = 2mn + m + n + 5.
3

%I #44 Sep 08 2022 08:45:40

%S 9,12,17,15,22,29,18,27,36,45,21,32,43,54,65,24,37,50,63,76,89,27,42,

%T 57,72,87,102,117,30,47,64,81,98,115,132,149,33,52,71,90,109,128,147,

%U 166,185,36,57,78,99,120,141,162,183,204,225,39,62,85,108,131,154

%N Triangle read by rows: T(m,n) = 2mn + m + n + 5.

%C All terms are in A153044. - _Vincenzo Librandi_, Aug 30 2012

%H Vincenzo Librandi, <a href="/A154631/b154631.txt">Table of n, a(n) for Rows n = 1..100, flattened</a>

%e Triangle begins:

%e 9;

%e 12, 17;

%e 15, 22, 29;

%e 18, 27, 36, 45;

%e 21, 32, 43, 54, 65;

%e 24, 37, 50, 63, 76, 89;

%e 27, 42, 57, 72, 87, 102, 117;

%e 30, 47, 64, 81, 98, 115, 132, 149;

%e 33, 52, 71, 90, 109, 128, 147, 166, 185;

%e 36, 57, 78, 99, 120, 141, 162, 183, 204, 225;

%t Flatten[Table[2 n m + m + n + 5, {n, 10}, {m, n}]] (* _Vincenzo Librandi_, Aug 30 2012 *)

%o (Magma) /* Triangle: */ [[2*m*n+m+n+5: m in [1..n]]: n in [1..10]]; // _Bruno Berselli_, Aug 31 2012

%Y Cf. A097069, A153044.

%K nonn,tabl,easy

%O 1,1

%A _Vincenzo Librandi_, Jan 17 2009

%E Minor edits by _Jon E. Schoenfield_, Jun 23 2010