A077410 - OEIS

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A077410

Combined Diophantine Chebyshev sequences A077249 and A077251.

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; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`-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(2k)= A077251(k) and a(2k+1)= A077249(k), k>=0.` `a(n)= sqrt((A077411(n)^2 - 25)/24).` `G.f.: (1+x)(1+x+x^2)/(1-10x^2+x^4).`
	EXAMPLE	`24a(2)^2 + 25 = 2412^2 + 25 = 3481 = 59^2 = A077411(2)^2.`
	CROSSREFS	`Sequence in context: A053896 A155890 A199986 * A193828 A191226 A063599` `Adjacent sequences: A077407 A077408 A077409 * 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 February 17 16:49 EST 2012. Contains 206058 sequences.