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A077411 Combined Diophantine Chebyshev sequences A077409 and A077250. 1
7, 11, 59, 103, 583, 1019, 5771, 10087, 57127, 99851, 565499, 988423, 5597863, 9784379, 55413131, 96855367, 548533447, 958769291, 5429921339, 9490837543, 53750679943, 93949606139, 532076878091, 930005223847, 5267018100967 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

a(n)^2 - 24*b(n)^2 = 25, with the companion sequence b(n)= A077410(n).

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(2*k)= A077409(k) and a(2*k+1)= A077250(k), k>=0.

a(n)= sqrt(24*A077410(n)^2 + 25).

G.f.: (1-x)*(7+18*x+7*x^2)/(1-10*x^2+x^4).

EXAMPLE

59 = a(2) = sqrt(24*A077410(2)^2 + 25) = sqrt(24*12^2 + 25)= sqrt(3481) = 59.

CROSSREFS

Sequence in context: A018508 A038277 A045462 * A085016 A067690 A196181

Adjacent sequences:  A077408 A077409 A077410 * A077412 A077413 A077414

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 08:49 EST 2012. Contains 205893 sequences.