A092283 - OEIS

%I #12 Jun 24 2017 10:34:09

%S 2,3,6,4,7,12,5,8,13,20,6,9,14,21,30,7,10,15,22,31,42,8,11,16,23,32,

%T 43,56,9,12,17,24,33,44,57,72,10,13,18,25,34,45,58,73,90,11,14,19,26,

%U 35,46,59,74,91,110,12,15,20,27,36,47,60,75,92,111,132,13,16,21,28,37

%N Triangular array read by rows: T(n,k)=n+k^2, 1<=k<=n.

%C T(n,n) = A002378(n+1);

%C Sum(T(n,k):1<=k<=n) = A000330(n) + A000290(n).

%H Harvey P. Dale, <a href="/A092283/b092283.txt">Table of n, a(n) for n = 1..1000</a>

%e    2 ;

%e    3   6 ;

%e    4   7  12 ;

%e    5   8  13  20;

%e    6   9  14  21  30;

%e    7  10  15  22  31  42 ;

%e    8  11  16  23  32  43  56 ;

%e    9  12  17  24  33  44  57  72 ;

%e   10  13  18  25  34  45  58  73  90 ;

%e   11  14  19  26  35  46  59  74  91 110 ;

%t Table[n+k^2,{n,20},{k,n}]//Flatten (* _Harvey P. Dale_, Jun 24 2017 *)

%Y Cf. A101986 (row sums).

%K nonn,easy,tabl

%O 1,1

%A _Reinhard Zumkeller_, Jan 27 2004