A341928 -id:A341928 - cp's OEIS frontend

A343008 a(n) = F(n+5) * F(n+2) - 12 * (-1)^n where F(n) = A000045(n) are the Fibonacci numbers.

28, 27, 117, 260, 727, 1857, 4908, 12803, 33565, 87828, 229983, 602057, 1576252, 4126635, 10803717, 28284452, 74049703, 193864593, 507544140, 1328767763, 3478759213, 9107509812, 23843770287, 62423800985, 163427632732, 427859097147, 1120149658773

Offset: 1

Burak Muslu, Apr 02 2021

nonn

First differences of A341928.
Second differences of A341208.
Third differences of A338225.
Fourth differences of A226205.
Fourth differences between the areas of consecutive rectangles with side lengths F(n+3) and F(n).
Twice the fourth differences between the areas of consecutive deltoids with cross lengths F(n+3) and F(n).
Twice the fourth differences between the areas of consecutive triangles with the height and base length are F(n+3) and F(n).

			For n = 2, a(2) = F(2+5) * F(2+2) - 12 * (-1)^2 = 13 * 3 - 12 = 27.

B. Muslu, Sayılar ve Bağlantılar, Luna, 2021, p. 52.

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

Cf. A000045, A226205, A338225, A341208, A341928.

a[n_]:=Fibonacci[n+5]*Fibonacci[n+2]-12(-1)^n
Array[a,30] (* Giorgos Kalogeropoulos, Apr 02 2021 *)

a(n) = F(n+5) * F(n+2) - 12 * (-1)^n.

G.f.: x*(28 - 29*x + 7*x^2)/(1 - 2*x - 2*x^2 + x^3).

cp's OEIS Frontend

A343008 a(n) = F(n+5) * F(n+2) - 12 * (-1)^n where F(n) = A000045(n) are the Fibonacci numbers.

Views

Author

Keywords

Comments

Examples

References

Links

Crossrefs

Programs

Mathematica

Formula