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A041136
Numerators of continued fraction convergents to sqrt(77).
2
8, 9, 35, 79, 272, 351, 5888, 6239, 24605, 55449, 190952, 246401, 4133368, 4379769, 17272675, 38925119, 134048032, 172973151, 2901618448, 3074591599, 12125393245, 27325378089, 94101527512
OFFSET
0,1
LINKS
FORMULA
a(n) = 702*a(n-6)-a(n-12). G.f.: -(x^11-8*x^10+9*x^9-35*x^8+79*x^7-272*x^6-351*x^5-272*x^4-79*x^3-35*x^2-9*x-8)/((x^4-9*x^2+1)*(x^8+9*x^6+80*x^4+9*x^2+1)). [Colin Barker, Jul 18 2012]
MATHEMATICA
Numerator[Convergents[Sqrt[77], 30]] (* Vincenzo Librandi, Oct 26 2013 *)
CROSSREFS
Sequence in context: A306162 A050771 A120776 * A041915 A036764 A129548
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved