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A096456
Numerators of convergents to Pi/2.
7
1, 2, 3, 11, 344, 355, 51819, 52174, 260515, 573204, 4846147, 5419351, 37362253, 42781604, 122925461, 411557987, 534483448, 2549491779, 3083975227, 17969367914, 21053343141, 881156436695, 902209779836, 2685575996367
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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