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A164543 a(n) = 10*a(n-1) - 17*a(n-2) for n > 1; a(0) = 1, a(1) = 17. 2
1, 17, 153, 1241, 9809, 76993, 603177, 4722889, 36974881, 289459697, 2266023993, 17739425081, 138871842929, 1087148202913, 8510660699337, 66625087543849, 521569643549761, 4083069947252177, 31964015532175833, 250227966218471321 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
Binomial transform of A164542. Fifth binomial transform of A164675.
LINKS
FORMULA
a(n) = 10*a(n-1) - 17*a(n-2) for n > 1; a(0) = 1, a(1) = 17.
G.f.: (1+7*x)/(1-10*x+17*x^2).
a(n) = ((1+3*sqrt(2))*(5+2*sqrt(2))^n + (1-3*sqrt(2))*(5-2*sqrt(2))^n)/2.
PROG
(Magma) Z<x>:=PolynomialRing(Integers()); N<r>:=NumberField(x^2-2); S:=[ ((1+3*r)*(5+2*r)^n+(1-3*r)*(5-2*r)^n)/2: n in [0..18] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Aug 20 2009
CROSSREFS
Sequence in context: A247613 A010969 A022582 * A295932 A298458 A160699
KEYWORD
nonn,easy
AUTHOR
Al Hakanson (hawkuu(AT)gmail.com), Aug 15 2009
EXTENSIONS
Edited and extended beyond a(5) by Klaus Brockhaus, Aug 20 2009
STATUS
approved

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Last modified June 18 02:11 EDT 2024. Contains 373468 sequences. (Running on oeis4.)