A195539 Numerators b(n) of Pythagorean approximations b(n)/a(n) to sqrt(8).

12, 35, 408, 1189, 13860, 40391, 470832, 1372105, 15994428, 46611179, 543339720, 1583407981, 18457556052, 53789260175, 627013566048, 1827251437969, 21300003689580, 62072759630771, 723573111879672, 2108646576008245, 24580185800219268

Offset

1,1

Comments

See A195500 for discussion and list of related sequences; see A195538 for Mathematica program.

Conjecture: a(n) = +34*a(n-2) -a(n-4) with a(2n+1) = A000129(4n+4), a(2n)=A046176(n+1). - R. J. Mathar, Sep 21 2011

Links

Table of n, a(n) for n=1..21.

Crossrefs

Cf. A195500, A195538, A195540.

Sequence in context: A195542 A103472 A009649 * A007794 A008653 A038006

Adjacent sequences: A195536 A195537 A195538 * A195540 A195541 A195542

Keyword

nonn

Author

Clark Kimberling, Sep 20 2011

Status

approved