|
Search: id:A158198
|
|
|
| A158198 |
|
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 |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
1,5
|
|
|
FORMULA
|
T(row,col)=sum(-1^i*binom(col,i+1)*(col-i)^(row-col), i=0 to col-1) 1<=col<=row
|
|
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
|
|
CROSSREFS
|
Sequence in context: A140068 A121300 A128119 this_sequence A158793 A112996 A136621
Adjacent sequences: A158195 A158196 A158197 this_sequence A158199 A158200 A158201
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Thomas J Engelsma (tom(AT)opertech.com), Mar 13 2009
|
|
|
Search completed in 0.002 seconds
|
