A178027 Multiples of 5291.

0, 5291, 10582, 15873, 21164, 26455, 31746, 37037, 42328, 47619, 52910, 58201, 63492, 68783, 74074, 79365, 84656, 89947, 95238, 100529, 105820, 111111, 116402, 121693, 126984, 132275, 137566, 142857, 148148, 153439, 158730, 164021, 169312, 174603, 179894, 185185

Offset: 0

Author

Paul Curtz, May 17 2010

Keywords

• nonn
• easy

Links

• Emile Fourrey, Récréations arithmétiques, pp 7-8 and 91, 1899, Librairie Nony, Paris.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A010878, A141726.

Programs

Mathematica

5291 Range[0, 32] (* Michael De Vlieger, Mar 03 2016 *)

PARI

a(n)=5291*n \\ Charles R Greathouse IV, Jun 26 2013

PARI

concat(0, Vec(5291*x/(1-x)^2 + O(x^36))) \\ Elmo R. Oliveira, Jun 26 2025

Formula

a(n) = n*5291. - R. J. Mathar, May 24 2010

a(n) mod 9 = A141726(n) = 8 - A010878(n-1). - Jean-François Alcover, Mar 03 2016, after Paul Curtz.

From Elmo R. Oliveira, Jun 26 2025: (Start)

G.f.: 5291*x/(1-x)^2.

E.g.f.: 5291*x*exp(x).

a(n) = 2*a(n-1) - a(n-2). (End)

Extensions

More terms from Elmo R. Oliveira, Jun 26 2025