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A115322 Triangle of coefficients of Pell polynomials. 0

%I #18 Feb 10 2023 11:43:01

%S 1,0,2,1,0,4,0,4,0,8,1,0,12,0,16,0,6,0,32,0,32,1,0,24,0,80,0,64,0,8,0,

%T 80,0,192,0,128,1,0,40,0,240,0,448,0,256,0,10,0,160,0,672,0,1024,0,

%U 512,1,0,60,0,560,0,1792,0,2304,0,1024,0,12,0,280,0,1792,0,4608,0,5120,0,2048

%N Triangle of coefficients of Pell polynomials.

%C Aside from signs, same as A053117.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PellPolynomial.html">Pell Polynomial</a>

%F G.f. for n-th row is Fibonacci(n, 2*x).

%e 1, 2*x, 1 + 4*x^2, 4*x + 8*x^3, 1 + 12*x^2 + 16*x^4, ...

%t Flatten[Table[CoefficientList[Fibonacci[n, 2 x], x], {n, 0, 20}]] (* _Emanuele Munarini_, Dec 01 2017 *)

%Y Cf. A053117.

%K nonn,tabl

%O 1,3

%A _Eric W. Weisstein_, Jan 20 2006

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)