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

0,1

Links

Table of n, a(n) for n=0..69.

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]

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)

Sequence in context: A236548 A249949 A155798 * A290084 A154844 A351089

Adjacent sequences: A055649 A055650 A055651 * A055653 A055654 A055655

Keyword

easy,nonn,tabl

Author

Henry Bottomley, Jun 08 2000

Status

approved