A195563 Numerators b(n) of Pythagorean approximations b(n)/a(n) to 1/4.

0, 7, 9, 16, 399, 657, 1040, 26391, 43289, 68640, 1741343, 2856481, 4529184, 114902311, 188484393, 298857520, 7581811119, 12437113521, 19720067120, 500284631607, 820661007929, 1301225572416, 33011203874879, 54151189409857

Offset

1,2

Comments

See A195500 for discussion and list of related sequences; see A195562 for Mathematica program.

Links

Table of n, a(n) for n=1..24.

Formula

Empirical g.f.: -x^2*(x^7-x^6-72*x^4+56*x^3-16*x^2-9*x-7) / (x^9-65*x^6-65*x^3+1). - Colin Barker, Jun 04 2015

Crossrefs

Cf. A195500, A195562, A195564.

Sequence in context: A020691 A366674 A145830 * A250292 A140364 A366526

Adjacent sequences: A195560 A195561 A195562 * A195564 A195565 A195566

Keyword

nonn

Author

Clark Kimberling, Sep 21 2011

Status

approved