A248505 Alternating the subtraction and multiplication of two previous terms, starting with 3, 2.

3, 2, -1, -2, -1, 2, 3, 6, 3, 18, 15, 270, 255, 68850, 68595, 4722765750, 4722697155, 22304192371256441250, 22304192366533744095, 497476997228678085728479670747901918750, 497476997228678085706175478381368174655

Offset

1,1

Links

Table of n, a(n) for n=1..21.

Formula

For n odd a(n) = a(n-1) - a(n-2),

For n even a(n) = a(n-1) * a(n-2),

a(1) = 3, a(2) = 2.

Example

For n = 3, a(n) = a(2) - a(1) = 2 - 3  = -1.

Mathematica

a248505[n_Integer] := Module[{f},
f[1] = 3; f[2] = 2; f[k_] := If[EvenQ[k], f[k - 1] * f[k - 2], f[k - 1] - f[k - 2]]; f /@ Range[n]]; a248505[21] (* Michael De Vlieger, Nov 17 2014 *)

Prog

(PARI) v=[3, 2]; for(n=1, 20, if(n%2, v=concat(v, v[#v]-v[#v-1])); if(!(n%2), v=concat(v, v[#v]*v[#v-1]))); v \\ Derek Orr, Oct 29 2014

Crossrefs

Cf. A248479.

Sequence in context: A370560 A342468 A324534 * A254629 A096248 A079109

Adjacent sequences: A248502 A248503 A248504 * A248506 A248507 A248508

Keyword

sign

Author

Stuart E Anderson, Oct 07 2014

Extensions

More terms from Colin Barker, Oct 07 2014

Status

approved