The solution is:
-1055601013028324616460241716889049286488681374768501625591337054634957975237732828869013640702840996152580015387224543250761558013793042009976259646073422762768054194967146795979932980867162391841428362706380799320592096005542225465809680042847 5483370372135888584988693351096085683152310196037834838853515604130457147221163449102021441655790402935991913707551817461761054609176150055624390246234671364352819103822707518677020500025567576925530481405931677389346398737626943099632392336708297656930017361655400772952123984374841275177899037570788419368973500423631330621366126803185510114810907127474489813966692775953083630985470783458625
And the recurrence formula is
(seq[-1] - 4) * (seq[-2] * 7)
This fine program was brought to you by
hakank@bonetmail.com
My other useless programs.