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A123002
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Triangle read by rows: T(n, m) := 2^(n - 1)*(2*m - 1) - 2^(m - 1)*(2*n - 1).
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0
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0, -1, 0, -1, 2, 0, 1, 10, 12, 0, 7, 30, 44, 40, 0, 21, 74, 116, 136, 112, 0, 51, 166, 268, 344, 368, 288, 0, 113, 354, 580, 776, 912, 928, 704, 0, 239, 734, 1212, 1656, 2032, 2272, 2240, 1664, 0, 493, 1498, 2484, 3432, 4304, 5024, 5440, 5248, 3840, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Ulam commutator triangular array from a problem on Peano mappings.
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REFERENCES
| S. M. Ulam, Problems in Modern Mathematics,John Wiley and Sons, New York,1960, page 32
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EXAMPLE
| 0
-1, 0
-1, 2, 0
1, 10, 12, 0
7, 30, 44, 40, 0
21, 74, 116, 136, 112, 0
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MATHEMATICA
| T[n_, m_] := 2^(n - 1)*(2*m - 1) - 2^(m - 1)*(2*n - 1); a = Table[Table[T[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[a]
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CROSSREFS
| Sequence in context: A072551 A185410 A091803 * A137514 A158234 A069845
Adjacent sequences: A122999 A123000 A123001 * A123003 A123004 A123005
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KEYWORD
| sign,tabl
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AUTHOR
| Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 23 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 01 2006
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