|
Search: id:A120293
|
|
|
| A120293 |
|
Absolute value of numerator of determinant of n X n matrix with M(i,j) = (i+1)/(i+2) if i=j otherwise 1. |
|
+0
1
|
|
| 2, 1, 11, 17, 1, 1, 41, 17, 31, 37, 29, 101, 29, 1, 149, 167, 31, 103, 227, 83, 1, 37, 107, 347, 1, 67, 431, 461, 41, 131, 557, 197, 313, 331, 233, 67, 97, 1, 857, 1, 157, 1, 1031, 359, 281, 293, 1, 1, 661, 229, 1427, 1481, 1, 199, 97, 569, 883, 83, 1, 1949, 503, 173
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Some a(n) are equal to 1 (n=2,5,6,14,21,25,38,40,42,47,48,53,59,69,70..). All other a(n) are primes that belong to A038907 (33 is a square mod p).
|
|
FORMULA
|
a(n) = Abs[numerator[Det[DiagonalMatrix[Table[(i+1)/(i+2)-1,{i,1,n}]]+1]]].
|
|
MATHEMATICA
|
Abs[Numerator[Table[Det[DiagonalMatrix[Table[(i+1)/(i+2)-1, {i, 1, n}]]+1], {n, 1, 70}]]]
|
|
CROSSREFS
|
Cf. A118679, A038907.
Adjacent sequences: A120290 A120291 A120292 this_sequence A120294 A120295 A120296
Sequence in context: A055459 A080958 A138351 this_sequence A063624 A101851 A111724
|
|
KEYWORD
|
frac,nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 08 2006
|
|
|
Search completed in 0.002 seconds
|
