A262786 a(n) = 37^(2*n+1).

37, 50653, 69343957, 94931877133, 129961739795077, 177917621779460413, 243569224216081305397, 333446267951815307088493, 456487940826035155404146917, 624931990990842127748277129373, 855531895666462872887391390111637, 1171223165167387672982838813062831053

Offset: 0

Author

Vincenzo Librandi, Oct 08 2015

Keywords

• nonn
• easy

Comments

37*a(n) is a square.

Links

• G. C. Greubel, Table of n, a(n) for n = 0..250
• Index entries for linear recurrences with constant coefficients, signature (1369).

Crossrefs

Second bisection of A009981 (powers of 37).

Cf. similar sequences listed in A262715.

Cf. A005408, A009981.

Programs

Magma

[37^(2*n+1): n in [0..15]];

Mathematica

37^Range[1, 30, 2]

PARI

vector(20, n, n--; 37^(2*n+1)) \\ Altug Alkan, Oct 08 2015

Formula

G.f.: 37/(1 - 1369*x).

a(n) = 1369*a(n-1).

a(n) = A009981(A005408(n)). - Wesley Ivan Hurt, Sep 04 2022