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

0,5

Links

Table of n, a(n) for n=0..20.

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

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).

Crossrefs

Cf. A000045.

Sequence in context: A353665 A353775 A268966 * A052753 A353358 A353119

Adjacent sequences: A014337 A014338 A014339 * A014341 A014342 A014343

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved