cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A014340 #10 Jul 08 2025 05:36:37
%S A014340 0,0,0,0,24,240,2040,15120,106680,726768,4861560,32126160,210749880,
%T A014340 1375923120,8955795576,58177326480,377439735480,2446686537840,
%U A014340 15851581501560,102662600100432,664738663537080
%N A014340 Four-fold exponential convolution of Fibonacci numbers with themselves.
%H A014340 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (10,-15,-70,120,32)
%F A014340 (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
%F A014340 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]
%F A014340 a(n) = 24*A014341(n).
%Y A014340 Cf. A000045.
%K A014340 nonn
%O A014340 0,5
%A A014340 _N. J. A. Sloane_