A115322 Triangle of coefficients of Pell polynomials.

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, 80, 0, 192, 0, 128, 1, 0, 40, 0, 240, 0, 448, 0, 256, 0, 10, 0, 160, 0, 672, 0, 1024, 0, 512, 1, 0, 60, 0, 560, 0, 1792, 0, 2304, 0, 1024, 0, 12, 0, 280, 0, 1792, 0, 4608, 0, 5120, 0, 2048

Offset

1,3

Comments

Aside from signs, same as A053117.

Links

Table of n, a(n) for n=1..78.

Eric Weisstein's World of Mathematics, Pell Polynomial

Formula

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

Example

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

Mathematica

Flatten[Table[CoefficientList[Fibonacci[n, 2 x], x], {n, 0, 20}]] (* Emanuele Munarini, Dec 01 2017 *)

Crossrefs

Cf. A053117.

Sequence in context: A214809 A363902 A137336 * A053117 A121448 A019094

Adjacent sequences: A115319 A115320 A115321 * A115323 A115324 A115325

Keyword

nonn,tabl

Author

Eric W. Weisstein, Jan 20 2006

Status

approved