A096456 Numerators of convergents to Pi/2.

1, 2, 3, 11, 344, 355, 51819, 52174, 260515, 573204, 4846147, 5419351, 37362253, 42781604, 122925461, 411557987, 534483448, 2549491779, 3083975227, 17969367914, 21053343141, 881156436695, 902209779836, 2685575996367

Offset

1,2

Links

M. F. Hasler, Table of n, a(n) for n = 1..1500, Oct 13 2020

I. Rosenholtz, Tangent sequences, world records, ..., Math. Mag., 72 (No. 5, 1999), 367-376.

Example

1, 2, 3/2, 11/7, 344/219, 355/226, ...

Mathematica

Table[Numerator[FromContinuedFraction[ContinuedFraction[Pi/2, n]]], {n, 1, 25}] (* Stefan Steinerberger, Mar 18 2006 *)

Prog

(PARI) contfracpnqn(c=contfrac(Pi/2), #c)[1, ] \\ M. F. Hasler, Oct 13 2020

Crossrefs

Cf. A096463 (denominators), A053300.

Cf. A002485 (numerators of convergents to Pi).

Sequence in context: A318130 A109809 A211349 * A262201 A072928 A140970

Adjacent sequences: A096453 A096454 A096455 * A096457 A096458 A096459

Keyword

nonn,frac,easy

Author

N. J. A. Sloane, Aug 16 2004

Extensions

More terms from Stefan Steinerberger, Mar 18 2006

Status

approved