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A160473
The p(n) sequence that is associated with the Eta triangle
A160464
.
6
3, 30, 315, 11340, 311850, 12162150, 638512875, 86837751000, 7424627710500, 779585909602500, 98617617564716250, 14792642634707437500, 2596108782391155281250, 527010082825404522093750, 122529844256906551386796875, 64695757767646659132228750000
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OFFSET
2,1
LINKS
Table of n, a(n) for n=2..17.
FORMULA
a(n) = 2^(-(2*(n-1)-1-floor(log(n-1)/log(2))))*(2*n-1)! for n >= 2.
PROG
(PARI) a(n) = 2^(-(2*(n-1)-1-logint(n-1, 2)))*(2*n-1)! \\
Michel Marcus
, Jul 06 2015
(Magma) [2^(-(2*(n-1)-1-Floor(Log(n-1)/Log(2))))*Factorial(2*n-1) : n in [2..30]]; //
Vincenzo Librandi
, Jul 06 2015
CROSSREFS
A160464
is the Eta triangle.
Equals 3*(n-2)!*
A000457
(n-2)/
A054243
(n-1).
Equals 2^(-
A049039
(n-1))*(2*n-1)!.
Cf. The pg(n) sequence
A162440
. -
Johannes W. Meijer
, Jul 06 2009
Sequence in context:
A163475
A200142
A339626
*
A144283
A229299
A365158
Adjacent sequences:
A160470
A160471
A160472
*
A160474
A160475
A160476
KEYWORD
easy
,
nonn
AUTHOR
Johannes W. Meijer
, May 24 2009
STATUS
approved