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A077410 Combined Diophantine Chebyshev sequences A077249 and A077251. +0
2
1, 2, 12, 21, 119, 208, 1178, 2059, 11661, 20382, 115432, 201761, 1142659, 1997228, 11311158, 19770519, 111968921, 195707962, 1108378052, 1937309101, 10971811599, 19177383048, 108609737938 (list; graph; listen)
OFFSET

0,2

COMMENT

-24*a(n)^2 + b(n)^2 = 25, with the companion sequence b(n)= A077411(n).

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(2*k)= A077251(k) and a(2*k+1)= A077249(k), k>=0.

a(n)= sqrt((A077411(n)^2 - 25)/24).

G.f.: (1+x)*(1+x+x^2)/(1-10*x^2+x^4).

EXAMPLE

24*a(2)^2 + 25 = 24*12^2 + 25 = 3481 = 59^2 = A077411(2)^2.

CROSSREFS

Sequence in context: A053890 A053896 A155890 this_sequence A063599 A163479 A017293

Adjacent sequences: A077407 A077408 A077409 this_sequence A077411 A077412 A077413

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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