A014340 Four-fold exponential convolution of Fibonacci numbers with themselves.

0, 0, 0, 0, 24, 240, 2040, 15120, 106680, 726768, 4861560, 32126160, 210749880, 1375923120, 8955795576, 58177326480, 377439735480, 2446686537840, 15851581501560, 102662600100432, 664738663537080

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (10,-15,-70,120,32)

Crossrefs

Cf. A000045.

Formula

(1/25){4^n[F(n)+2F(n-1)] + 2[F(3n-2)-3F(3n+1)] + 6*2^n}, F(n)=A000045(n). - Ralf Stephan, May 14 2004

G.f.:(-24*x^4)/((2*x-1)*(16*x^2+4*x-1)*(x^2+4*x-1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 26 2009]

a(n) = 24*A014341(n).