login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A055652 Table T(m,k)=m^k+k^m (with 0^0 taken to be 1) as square array read by antidiagonals. 6

%I #6 Mar 30 2012 18:51:26

%S 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,

%T 145,145,57,7,1,1,8,100,368,512,368,100,8,1,1,9,177,945,1649,1649,945,

%U 177,9,1,1,10,320,2530,5392,6250,5392,2530,320,10,1,1,11,593,7073

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

%F 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]

%Y 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.

%Y Cf. A055651.

%Y Contribution from _Franklin T. Adams-Watters_, Oct 26 2009: (Start)

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

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

%Y Cf. A076980, A156353, A156354. (End)

%K easy,nonn,tabl

%O 0,1

%A _Henry Bottomley_, Jun 08 2000

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)