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A089064 Expansion of log(1-log(1-x)). 6
0, 1, 0, 1, 1, 8, 26, 194, 1142, 9736, 81384, 823392, 8738016, 104336880, 1328270880, 18419317968, 272291315376, 4312675967232, 72478365279360, 1292173575000192, 24314102888206464, 482046102448383744, 10037081891973037824 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Stirling transform of a(n)=[1,0,1,1,8,26,...] is A075792(n)=[1,1,2,8,44,...]. - Michael Somos, Mar 04 2004

Stirling transform of -(-1)^n*a(n)=[1,0,1,-1,8,-26,194,...] is A000142(n-1)=[1,1,2,6,24,120,...]. - Michael Somos, Mar 04 2004

REFERENCES

G. H. Hardy, A Course of Pure Mathematics, 10th ed., Cambridge University Press, 1960, p. 428.

LINKS

Table of n, a(n) for n=0..22.

G. H. Hardy, A Course of Pure Mathematics, Cambridge, The University Press, 1908.

FORMULA

a(n) = (-1)^(n+1)*Sum_{k=1..n} (k-1)!*Stirling1(n, k).

E.g.f.: log(1-log(1-x)).

PROG

(PARI) a(n)=if(n<0, 0, n!*polcoeff(log(1-log(1-x+x*O(x^n))), n))

CROSSREFS

Sequence in context: A274733 A223312 A194997 * A240291 A203635 A000810

Adjacent sequences:  A089061 A089062 A089063 * A089065 A089066 A089067

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Dec 20 2003

STATUS

approved

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Last modified February 20 22:25 EST 2018. Contains 299387 sequences. (Running on oeis4.)