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A099369 Squares of A041025(n-1), n>=1, (generalized Fibonacci). 1
0, 1, 64, 4225, 278784, 18395521, 1213825600, 80094094081, 5284996383744, 348729667233025, 23010873040995904, 1518368891038496641, 100189335935499782400, 6610977802851947141761, 436224345652293011573824 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See the comment in A099279. This is example a=8.

LINKS

Table of n, a(n) for n=0..14.

Index entries for linear recurrences with constant coefficients, signature (65, 65, -1).

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(n)= A041025(n-1)^2, n>=1, a(0)=0.

a(n)= 65*a(n-1) + 65*a(n-2) - a(n-3), n>=3; a(0)=0, a(1)=1, a(2)=64.

a(n)= 66*a(n-1) - a(n-2) - 2*(-1)^n, n>=2; a(0)=0, a(1)=1.

a(n)= (T(n, 33)-(-1)^n)/34 with the Chebyshev's polynomials of the first kind: T(n, 33)=A099370(n).

G.f.: x*(1-x)/((1-66*x+x^2)*(1+x)) = x*(1-x)/(1-65*x-65*x^2+x^3).

a(n)=-(1/34)*(-1)^n+(1/68)*[33+8*sqrt(17)]^n+(1/68)*[33-8*sqrt(17)]^n, with n>=0 [From Paolo P. Lava, Aug 28 2008]

CROSSREFS

Sequence in context: A320401 A203438 A264345 * A249393 A208708 A189957

Adjacent sequences:  A099366 A099367 A099368 * A099370 A099371 A099372

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 18 2004

STATUS

approved

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Last modified November 22 02:58 EST 2019. Contains 329383 sequences. (Running on oeis4.)