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

Author

Patrick De Geest, May 15 1998

Keywords

• nonn

Comments

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

Crossrefs

Cf. A032765-A032798.

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)