login
A042060
Numerators of continued fraction convergents to sqrt(554).
2
23, 24, 47, 306, 1271, 1577, 2848, 12969, 80662, 93631, 174293, 8111109, 8285402, 16396511, 106664468, 443054383, 549718851, 992773234, 4520811787, 28117643956, 32638455743, 60756099699, 2827419041897, 2888175141596, 5715594183493, 37181740242554
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,348586,0,0,0,0,0,0,0,0,0,0,1).
FORMULA
G.f.: -(x^21 -23*x^20 +24*x^19 -47*x^18 +306*x^17 -1271*x^16 +1577*x^15 -2848*x^14 +12969*x^13 -80662*x^12 +93631*x^11 +174293*x^10 +93631*x^9 +80662*x^8 +12969*x^7 +2848*x^6 +1577*x^5 +1271*x^4 +306*x^3 +47*x^2 +24*x +23) / (x^22 +348586*x^11 -1). - Colin Barker, Nov 30 2013
a(n) = 348586*a(n-11) + a(n-22). - Wesley Ivan Hurt, Sep 05 2022
MATHEMATICA
Numerator[Convergents[Sqrt[554], 30]] (* Vincenzo Librandi, Nov 14 2013 *)
CROSSREFS
Sequence in context: A042072 A042064 A042062 * A042058 A045859 A042078
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 30 2013
STATUS
approved