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A012950 a(n) = (2n+1)! * [x^(2n+1)]; expansion of arcsin(tan(x)+arcsin(x)). 0
2, 11, 433, 47777, 10445209, 3792307917, 2060929368925, 1565891035323617, 1584908855099457809, 2061186455316106953685, 3349214731529157234143461, 6649249948563897129719525769, 15836980365691934720682871441241, 44569352711436570809863777097634621 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

MAPLE

a:= n-> (2*n+1)! *coeff(series(arcsin(tan(x)+arcsin(x)), x, 2*n+2), x, 2*n+1): seq(a(n), n=0..20);

MATHEMATICA

Partition[CoefficientList[Series[ArcSin[Tan[x] + ArcSin[x]], {x, 0, 23}], x]*Range[0, 23]!, 2][[All, 2]]

PROG

(PARI) x='x+O('x^33); /* that many terms */

v=Vec(serlaplace(asin(tan(x)+asin(x)))); /* every second term is zero */

vector(#v\2, n, v[2*n-1]) /* show terms */

/* Joerg Arndt, Mar 16 2011 */

CROSSREFS

Sequence in context: A052290 A145512 A013046 * A012979 A013109 A120934

Adjacent sequences:  A012947 A012948 A012949 * A012951 A012952 A012953

KEYWORD

nonn

AUTHOR

Patrick Demichel (patrick.demichel(AT)hp.com)

STATUS

approved

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Last modified August 20 07:48 EDT 2019. Contains 326143 sequences. (Running on oeis4.)