|
| |
|
|
A032796
|
|
Numbers that are congruent to {1, 2, 3, 5, 6} mod 7.
|
|
1
| |
|
|
1, 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 22, 23, 24, 26, 27, 29, 30, 31, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 87, 89, 90, 92, 93, 94, 96, 97, 99
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| n(n+1)(n+2)...(n+6) / n+(n+1)+(n+2)+...+(n+6) is a multiple of n.
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).
|
|
|
FORMULA
| Equals natural numbers minus '4, 7, 11, 14, 18, ...' (= previous term +3, +4, +3, +4, ...).
G.f.: x(x^5+x^4+2x^3+x^2+x+1)/[(1-x)(1-x^5)].
|
|
|
PROG
| (MAGMA)[ n: n in [0..120] | n mod 7 in {1, 2, 3, 5, 6} ]; [From Vincenzo Librandi, Dec 29 2010]
|
|
|
CROSSREFS
| Cf. A032765-A032798.
Sequence in context: A032953 A039033 A047333 * A087057 A184580 A184622
Adjacent sequences: A032793 A032794 A032795 * A032797 A032798 A032799
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), May 15, 1998.
|
| |
|
|
