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Search: id:A055652
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| A055652 |
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Table T(m,k)=m^k+k^m (with 0^0 taken to be 1) as square array read by antidiagonals. |
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5
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| 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
(list; table; graph; listen)
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OFFSET
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0,1
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FORMULA
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E.g.f. Sum(n,m, T(n,m)/(n! m!)) = e^(x e^y) + e^(y e^x). [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Oct 26 2009]
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CROSSREFS
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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 (FrankTAW(AT)Netscape.net), 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: A161095 A118107 A155798 this_sequence A154844 A133831 A066955
Adjacent sequences: A055649 A055650 A055651 this_sequence A055653 A055654 A055655
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KEYWORD
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easy,nonn,tabl,new
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jun 08 2000
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