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A077237 Combined Diophantine Chebyshev sequences A054491 and A077234. +0
3
1, 2, 6, 9, 23, 34, 86, 127, 321, 474, 1198, 1769, 4471, 6602, 16686, 24639, 62273, 91954, 232406, 343177, 867351, 1280754, 3236998, 4779839, 12080641, 17838602, 45085566, 66574569, 168261623 (list; graph; listen)
OFFSET

0,2

COMMENT

-3*a(n)^2 + b(n)^2 = 13, with the companion sequence b(n)= A077238(n).

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(2*k)= A054491(k) and a(2*k+1)= A077234(k), k>=0.

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

EXAMPLE

3*a(2)^2 + 13 = 3*36+13 = 121 = 11^2 = A077238(2)^2.

CROSSREFS

Sequence in context: A047161 A048083 A127931 this_sequence A056879 A006746 A121624

Adjacent sequences: A077234 A077235 A077236 this_sequence A077238 A077239 A077240

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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