|
Search: id:A070732
|
|
|
| A070732 |
|
Size of largest conjugacy class in the group GL(2,Z_n). |
|
+0
2
|
|
| 1, 3, 12, 12, 30, 36, 56, 48, 108, 90, 132, 144, 182, 168, 360, 192, 306, 324, 380, 360, 672, 396, 552, 576, 750, 546, 972, 672, 870, 1080, 992, 768, 1584, 918, 1680, 1296, 1406, 1140, 2184, 1440, 1722, 2016, 1892, 1584, 3240, 1656, 2256, 2304, 2744, 2250
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
a(n) is multiplicative. a(p^e) = (p+1) * p^(2e - k), k = 1 if p is odd, k = 2 if p is 2.
|
|
FORMULA
|
a(n) = A000056(n)/A000010(2*n). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Dec 22 2003
|
|
MATHEMATICA
|
f[n_] := Block[{a = 1, b = FactorInteger[n]}, While[ Length[b] > 0, a = a*(b[[1, 1]] + 1)*b[[1, 1]]^(2b[[1, 2]] - If[ OddQ[ b[[1, 1]]], 1, 2]); b = Drop[b, 1]]; a]; Table[ f[n], {n, 1, 55}]
|
|
CROSSREFS
|
Cf. A062354.
Sequence in context: A110345 A018999 A085272 this_sequence A085060 A024546 A073542
Adjacent sequences: A070729 A070730 A070731 this_sequence A070733 A070734 A070735
|
|
KEYWORD
|
nonn,mult
|
|
AUTHOR
|
Sharon Sela (sharonsela(AT)hotmail.com), May 14 2002
|
|
EXTENSIONS
|
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), May 20 2002
|
|
|
Search completed in 0.004 seconds
|
