A013727 a(n) = 22^(2*n + 1).

22, 10648, 5153632, 2494357888, 1207269217792, 584318301411328, 282810057883082752, 136880068015412051968, 66249952919459433152512, 32064977213018365645815808, 15519448971100888972574851072, 7511413302012830262726227918848, 3635524038174209847159494312722432

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Tanya Khovanova, Recursive Sequences.
• Index entries for linear recurrences with constant coefficients, signature (484).

Crossrefs

Bisection of A009966 (22^n).

Cf. A004171, A005408, A013708-A013726, A013728-A013729.

Programs

Magma

[22^(2*n+1): n in [0..15]]; // Vincenzo Librandi, Jun 26 2011

Maple

seq(22^(2*n+1),n=0..10); # Nathaniel Johnston, Jun 26 2011

Mathematica

NestList[484*# &, 22, 15] (* Paolo Xausa, Jul 12 2025 *)

PARI

a(n)=22^(2*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 28 2008: (Start)

a(n) = 484*a(n-1); a(0)=22.

G.f.: 22/(1-484*x). (End)

From Elmo R. Oliveira, Jul 10 2025: (Start)

E.g.f.: 22*exp(484*x).

a(n) = A004171(n)*A013716(n) = A009966(A005408(n)). (End)