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A009468 Expansion of sin(log(1+x)^2). 2
0, 0, 2, -6, 22, -100, 428, -1008, -12504, 325152, -5509368, 85326120, -1301444520, 20069047440, -316157970000, 5106165734880, -84530527771200, 1430269752307200, -24598613333889120, 426082994004863520, -7316749927773684000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = sum(k=0..(n-1)/2, ((-1)^k*(4*k+2)!*stirling1(n,4*k+2))/(2*k+1)!). - Vladimir Kruchinin, Jun 28 2011

EXAMPLE

sin(log(x+1)^2) = 2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5...

MATHEMATICA

Sin[ Log[ 1+x ]^2 ]

PROG

(Maxima)

a(n):=sum(((-1)^k*(4*k+2)!*stirling1(n, 4*k+2))/(2*k+1)!, k, 0, ((n-1)/2)); /* Vladimir Kruchinin, Jun 28 2011 */

CROSSREFS

Sequence in context: A009789 A012271 A012266 * A088819 A177478 A052517

Adjacent sequences:  A009465 A009466 A009467 * A009469 A009470 A009471

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

STATUS

approved

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Last modified April 21 02:10 EDT 2021. Contains 343143 sequences. (Running on oeis4.)