

A160143


A "lookalike" of the coefficients of the series for x/cos(x).


2



1, 3, 25, 427, 12465, 555731, 35135945, 2990414715, 329655706465, 45692713833379, 1111113564712575, 1595024111042171723, 387863354088927172625, 110350957750914345093747
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OFFSET

0,2


COMMENTS

The first difference with sequence A009843 (expansion of x/cos(x)) occurs at a(10). An explanation can be found in the "lookalike" of the numerators of (2*n+1)/(4^(2*n+1)2^(2*n+1)) with the odd numbers 2n+1 (cf. A160144).
A156769 describes a similar "lookalike" with A036279 (expansion of tan(x)).


LINKS

Table of n, a(n) for n=0..13.


MAPLE

a := n > (1)^iquo(n, 2)*euler(n)*(n+1)/(4^(n+1)2^(n+1));
seq(numer(a(2*n)), n=0..13);


CROSSREFS

Cf. A009843, A160144, A160145, A036279, A156769.
Sequence in context: A143925 A245309 A074708 * A009843 A182962 A223076
Adjacent sequences: A160140 A160141 A160142 * A160144 A160145 A160146


KEYWORD

frac,nonn


AUTHOR

Peter Luschny, May 03 2009


STATUS

approved



