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 A195557 Numerators b(n) of Pythagorean approximations b(n)/a(n) to 1/3. 3
 0, 5, 7, 12, 155, 301, 444, 5921, 11395, 16872, 224807, 432745, 640680, 8536781, 16432879, 24328980, 324172835, 624016693, 923860548, 12310030985, 23696201419, 35082371856, 467457004559, 899831637265, 1332206269968, 17751056142293 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A195500 for discussion and list of related sequences; see A195556 for Mathematica program. LINKS FORMULA Conjecture: a(n) = +37*a(n-3) +37*a(n-6) -a(n-9). - R. J. Mathar, Sep 21 2011 Empirical g.f.: -x^2*(x^7-x^6-42*x^4+30*x^3-12*x^2-7*x-5) / (x^9-37*x^6-37*x^3+1). - Colin Barker, Jun 04 2015 CROSSREFS Cf. A195500, A195556, A195558. Sequence in context: A020686 A011984 A280291 * A063187 A335164 A205323 Adjacent sequences: A195554 A195555 A195556 * A195558 A195559 A195560 KEYWORD nonn AUTHOR Clark Kimberling, Sep 21 2011 STATUS approved

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Last modified January 26 22:13 EST 2023. Contains 359836 sequences. (Running on oeis4.)