A032798 Numbers such that n(n+1)(n+2)...(n+12) / (n+(n+1)+(n+2)+...+(n+12)) is a multiple of n.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 84

Offset

1,2

Comments

Equals natural numbers minus '7,13,20,26,33,...' (= previous term +6,+7,+6,+7,...).

Links

Table of n, a(n) for n=1..72.

Formula

From Chai Wah Wu, Dec 17 2016: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

G.f.: x*(x^11 + x^10 + x^9 + x^8 + x^7 + 2*x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)/(x^12 - x^11 - x + 1). (End)

Crossrefs

Cf. A032765-A032798.

Sequence in context: A250482 A172233 A189891 * A195122 A184520 A047248

Adjacent sequences: A032795 A032796 A032797 * A032799 A032800 A032801

Keyword

nonn

Author

Patrick De Geest, May 15 1998

Status

approved