A080604 Triangular array of hypotenuses of right triangles with integer legs: T(n,k) = round(sqrt(n^2 + k^2)), 1 <= k <= n.

1, 2, 3, 3, 4, 4, 4, 4, 5, 6, 5, 5, 6, 6, 7, 6, 6, 7, 7, 8, 8, 7, 7, 8, 8, 9, 9, 10, 8, 8, 9, 9, 9, 10, 11, 11, 9, 9, 9, 10, 10, 11, 11, 12, 13, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 12, 12, 12, 13, 13, 13, 14, 14, 15, 16, 16, 17, 13, 13, 13

Offset

1,2

Comments

T(n,n) = A022846(n).

Links

Table of n, a(n) for n=1..81.

Example

Triangle begins:
  1;
  2, 3;
  3, 4, 4;
  4, 4, 5, 6;
  5, 5, 6, 6, 7;
  6, 6, 7, 7, 8, 8;
  7, 7, 8, 8, 9, 9, 10;
  ...

Crossrefs

Sequence in context: A356384 A225634 A247134 * A357815 A221983 A029118

Adjacent sequences: A080601 A080602 A080603 * A080605 A080606 A080607

Keyword

nonn,tabl

Author

Reinhard Zumkeller, Feb 25 2003

Status

approved