A055652 Table T(m,k)=m^k+k^m (with 0^0 taken to be 1) as square array read by antidiagonals.

2, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 8, 4, 1, 1, 5, 17, 17, 5, 1, 1, 6, 32, 54, 32, 6, 1, 1, 7, 57, 145, 145, 57, 7, 1, 1, 8, 100, 368, 512, 368, 100, 8, 1, 1, 9, 177, 945, 1649, 1649, 945, 177, 9, 1, 1, 10, 320, 2530, 5392, 6250, 5392, 2530, 320, 10, 1, 1, 11, 593, 7073

Offset: 0

Author

Henry Bottomley, Jun 08 2000

Keywords

• easy
• nonn
• tabl

Crossrefs

Columns and rows are A000012 (apart from first term), A000027, A001580, A001585, A001589, A001593 etc. Diagonals include A013499 (apart from first two terms), A051442, A051489.

Cf. A055651.

Contribution from Franklin T. Adams-Watters, Oct 26 2009: (Start)

Rows/columns: A000027, A001580, A001585, A001589, A001593, A001594, A001596.

Main diagonal is 2 * A000312. More diagonals: A051442, A051489, A155539.

Cf. A076980, A156353, A156354. (End)

Formula

E.g.f. Sum(n,m, T(n,m)/(n! m!)) = e^(x e^y) + e^(y e^x). [From Franklin T. Adams-Watters, Oct 26 2009]