login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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; text; 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

Table of n, a(n) for n=1..71.

Index entries for 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: A247431 A039033 A047333 * A087057 A184580 A184622

Adjacent sequences:  A032793 A032794 A032795 * A032797 A032798 A032799

KEYWORD

nonn

AUTHOR

Patrick De Geest, May 15 1998

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 18 14:28 EST 2017. Contains 294894 sequences.