|
| |
|
|
A167409
|
|
Very Orderly Numbers: a number, N, is "very orderly" if the set of the divisors of N is congruent to the set {1,2,...,tau(N)} mod tau(N)+1.
|
|
6
|
|
|
|
1, 2, 5, 8, 11, 12, 17, 20, 23, 27, 29, 38, 41, 47, 52, 53, 57, 58, 59, 68, 71, 72, 76, 83, 87, 89, 101, 107, 113, 117, 118, 124, 131, 133, 137, 149, 158, 162, 164, 167, 173, 177, 178, 179, 188, 191, 197, 203, 218, 227, 233, 236, 237, 239, 243, 244, 247, 251, 257
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
The very orderly numbers are orderly numbers (Cf. A167408) with K = tau(N)+1
|
|
|
LINKS
|
A. Weimholt, Table of n, a(n) for n=1,...,10000
|
|
|
MATHEMATICA
|
veryOrderlyQ[n_] := (If[tau = DivisorSigma[0, n]; Union[Mod[Divisors[n], tau + 1]] == Range[tau], Return[True]]; False); Select[ Range[260], veryOrderlyQ] (* Jean-François Alcover, Aug 19 2013 *)
|
|
|
PROG
|
(PARI)
vo(n)=#(n=divisors(n))==#(n=Set(n%(1+#n))) & n[1]!="0"
for(n=1, 999, vo(n)&print1(n", "))
--M. F. Hasler
|
|
|
CROSSREFS
|
Cf. A167408 - Orderly Numbers
Cf. A167410 - Disorderly Numbers - numbers not in A167408
Cf. A167411 - Minimal K Values for the Orderly Numbers
Sequence in context: A177966 A083422 A187581 * A082406 A215938 A007826
Adjacent sequences: A167406 A167407 A167408 * A167410 A167411 A167412
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Andrew Weimholt, Nov 03 2009
|
|
|
STATUS
|
approved
|
| |
|
|
