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A042862 Numerators of continued fraction convergents to sqrt(963). 2
31, 962, 59675, 1850887, 114814669, 3561105626, 220903363481, 6851565373537, 425017956522775, 13182408217579562, 817734327446455619, 25362946559057703751, 1573320420989024088181, 48798295997218804437362, 3027067672248554899204625, 93887896135702420679780737 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: (31 + 962*x + 31*x^2 - x^3)/(1 - 1924*x^2 + x^4). - Vincenzo Librandi, Dec 08 2013
a(n) = 1924*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 08 2013
MATHEMATICA
Numerator[Convergents[Sqrt[963], 30]] (* or *) CoefficientList[Series[(31 + 962 x + 31 x^2 - x^3)/(1 - 1924 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 08 2013 *)
PROG
(Magma) I:=[ 31, 962, 59675, 1850887]; [n le 4 select I[n] else 1924*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 08 2013
CROSSREFS
Cf. A042863.
Sequence in context: A208373 A171305 A009975 * A159674 A138958 A158675
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 08 2013
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)