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A032796 Numbers that are congruent to {1, 2, 3, 5, 6} mod 7. +0
2
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; listen)
OFFSET

1,2

COMMENT

n(n+1)(n+2)...(n+6) / n+(n+1)+(n+2)+...+(n+6) is a multiple of n.

FORMULA

Equals natural numbers minus '4, 7, 11, 14, 18, ...' (= previous term +3, +4, +3, +4, ...).

G.f.: (x^5+x^4+2x^3+x^2+x+1)/[(1-x)(1-x^5)].

CROSSREFS

Cf. A032765-A032798.

Sequence in context: A032953 A039033 A047333 this_sequence A087057 A167389 A087067

Adjacent sequences: A032793 A032794 A032795 this_sequence A032797 A032798 A032799

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), May 15, 1998.

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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