A092283 Triangular array read by rows: T(n,k)=n+k^2, 1<=k<=n.

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, 43, 56, 9, 12, 17, 24, 33, 44, 57, 72, 10, 13, 18, 25, 34, 45, 58, 73, 90, 11, 14, 19, 26, 35, 46, 59, 74, 91, 110, 12, 15, 20, 27, 36, 47, 60, 75, 92, 111, 132, 13, 16, 21, 28, 37

Offset

1,1

Comments

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

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

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

   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  43  56 ;
   9  12  17  24  33  44  57  72 ;
  10  13  18  25  34  45  58  73  90 ;
  11  14  19  26  35  46  59  74  91 110 ;

Mathematica

Table[n+k^2, {n, 20}, {k, n}]//Flatten (* Harvey P. Dale, Jun 24 2017 *)

Crossrefs

Cf. A101986 (row sums).

Sequence in context: A098286 A226615 A138608 * A266191 A273338 A099900

Adjacent sequences: A092280 A092281 A092282 * A092284 A092285 A092286

Keyword

nonn,easy,tabl

Author

Reinhard Zumkeller, Jan 27 2004

Status

approved