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A077241 Combined Diophantine Chebyshev sequences A054488 and A077413. 5
1, 2, 8, 13, 47, 76, 274, 443, 1597, 2582, 9308, 15049, 54251, 87712, 316198, 511223, 1842937, 2979626, 10741424, 17366533, 62605607, 101219572, 364892218, 589950899, 2126747701, 3438485822, 12395593988 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

-8*a(n)^2 + b(n)^2 = 17, with the companion sequence b(n)= A077242(n).

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(2*k)= A054488(k) and a(2*k+1)= A077413(k), k>=0.

G.f.: (1+x)*(1+x+x^2)/(1-6*x^2+x^4).

EXAMPLE

8*a(2)^2 + 17 = 8*8^2+17 = 529 = 23^2 = A077242(2)^2.

CROSSREFS

Sequence in context: A037382 A095825 A106359 * A066567 A002248 A194278

Adjacent sequences:  A077238 A077239 A077240 * A077242 A077243 A077244

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 08 2002

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.