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A041135 Denominators of continued fraction convergents to sqrt(76). 2
1, 1, 3, 4, 7, 39, 163, 854, 1017, 1871, 4759, 6630, 110839, 117469, 345777, 463246, 809023, 4508361, 18842467, 98720696, 117563163, 216283859, 550130881, 766414740, 12812766721, 13579181461, 39971129643, 53550311104, 93521440747, 521157514839, 2178151500103 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,115598,0,0,0,0,0,0,0,0,0,0,0,-1).
FORMULA
a(n) = 115598*a(n-12)-a(n-24). G.f.: -(x^22 -x^21 +3*x^20 -4*x^19 +7*x^18 -39*x^17 +163*x^16 -854*x^15 +1017*x^14 -1871*x^13 +4759*x^12 -6630*x^11 -4759*x^10 -1871*x^9 -1017*x^8 -854*x^7 -163*x^6 -39*x^5 -7*x^4 -4*x^3 -3*x^2 -x -1)/((x^12-340*x^6+1)*(x^12+340*x^6+1)). [Colin Barker, Jul 19 2012]
MATHEMATICA
Denominator/@Convergents[Sqrt[76], 50] (* Vladimir Joseph Stephan Orlovsky, Jul 05 2011 *)
CROSSREFS
Sequence in context: A046461 A084590 A279920 * A041379 A242859 A134471
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
Formula corrected by Colin Barker, Jul 24 2012
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)