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

0,2

Links

Table of n, a(n) for n=0..35.

Emile Fourrey, Récréations arithmétiques, pp 7-8 and 91, 1899, Librairie Nony, Paris.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

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)

Mathematica

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

Prog

(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

Crossrefs

Cf. A010878, A141726.

Sequence in context: A223341 A270798 A237002 * A053397 A300365 A227486

Adjacent sequences: A178024 A178025 A178026 * A178028 A178029 A178030

Keyword

nonn,easy

Author

Paul Curtz, May 17 2010

Extensions

More terms from Elmo R. Oliveira, Jun 26 2025

Status

approved