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A158198
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Triangle read by rows T(row,col)=sum(-1^i*C(col,i+1)*(col-i)^(row-col), i=0 to col-1) 1<=col<=row
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0
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1, 1, 1, 1, 3, 1, 1, 7, 4, 1, 1, 15, 16, 5, 1, 1, 31, 58, 25, 6, 1, 1, 63, 196, 125, 36, 7, 1, 1, 127, 634, 601, 216, 49, 8, 1, 1, 255, 1996, 2765, 1296, 343, 64, 9, 1, 1, 511, 6178, 12265, 7656, 2401, 512, 81, 10, 1, 1, 1023, 18916, 52925, 44136, 16807, 4096, 729
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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FORMULA
| T(row,col)=sum(-1^i*binom(col,i+1)*(col-i)^(row-col), i=0 to col-1) 1<=col<=row
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EXAMPLE
| 1
1...1
1...3....1
1...7....4....1
1..15...16....5....1
1..31...58...25....6...1
1..63..196..125...36...7..1
1.127..634..601..216..49..8.1
1.255.1996.2765.1296.343.64.9.1
a(8,4)=1*4*4^4-1*6*3^4+1*4*2^4-1*1*1^4=1024-486+64-1=601
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CROSSREFS
| Sequence in context: A179745 A121300 A128119 * A158793 A112996 A136621
Adjacent sequences: A158195 A158196 A158197 * A158199 A158200 A158201
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KEYWORD
| nonn,tabl
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AUTHOR
| Thomas J Engelsma (tom(AT)opertech.com), Mar 13 2009
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