Sum of all matrix elements of n X n matrix M[i,j] = (-1)^(i+j)*Fibonacci[i+j-1].

Terms

a(0) =1a(1) =1a(2) =4a(3) =5a(4) =17a(5) =32a(6) =97a(7) =225a(8) =628a(9) =1573a(10) =4225a(11) =10880a(12) =28769a(13) =74849a(14) =196708a(15) =513765a(16) =1347025a(17) =3523360a(18) =9229441a(19) =24154625a(20) =63251156a(21) =165571781a(22) =433507969a(23) =1134881280a(24) =2971250497a(25) =7778684737a(26) =20365103812a(27) =53316141125a(28) =139584105233a(29) =365434903328