A165149 -id:A165149 - cp's OEIS frontend

A165148 a(n) = (3*8^n-4^n)/2.

1, 10, 88, 736, 6016, 48640, 391168, 3137536, 25133056, 201195520, 1610088448, 12882804736, 103070826496, 824600166400, 6596935548928, 52776021262336, 422210317582336, 3377691130593280, 27021563404484608, 216172644674830336

Offset: 0

Klaus Brockhaus, Sep 15 2009

Binomial transform of A165147. Inverse binomial transform of A165149.

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (12, -32).

Cf. A165147, A165149.

Magma
```
[ (3*8^n-4^n)/2: n in [0..19] ];
```

Table[(3*8^n-4^n)/2,{n,0,20}] (* Harvey P. Dale, Jul 23 2014 *)

a(n) = 12*a(n-1)-32*a(n-2) for n > 1; a(0) = 1, a(1) = 10.

G.f.: (1-2*x)/((1-4*x)*(1-8*x)).

A165150 a(n) = (3*10^n - 6^n)/2.

Original entry on oeis.org

1, 12, 132, 1392, 14352, 146112, 1476672, 14860032, 149160192, 1494961152, 14969766912, 149818601472, 1498911608832, 14993469652992, 149960817917952, 1499764907507712, 14998589445046272, 149991536670277632, 1499949220021665792, 14999695320129994752, 149998171920779968512

Offset: 0

Klaus Brockhaus, Sep 15 2009

Binomial transform of A165149. Inverse binomial transform of A165151.

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (16,-60).

Cf. A165149, A165151.

Magma
```
[ (3*10^n-6^n)/2: n in [0..17] ];
```

a(n) = 16*a(n-1) - 60*a(n-2) for n > 1; a(0) = 1, a(1) = 12.
G.f.: (1 - 4*x)/((1 - 6*x)*(1 - 10*x)).
E.g.f.: exp(6*x)*(3*exp(4*x) - 1)/2. - Stefano Spezia, Mar 21 2023

cp's OEIS Frontend

A165148 a(n) = (3*8^n-4^n)/2.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

Formula