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Search: id:A045757
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A045757 10-factorial numbers. +0
14
1, 11, 231, 7161, 293601, 14973651, 913392711, 64850882481, 5252921480961, 478015854767451, 48279601331512551, 5359035747797893161, 648443325483545072481, 84946075638344404495011 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n)= Pochhammer(1/10,n)*10^n.

LINKS

Index entries for sequences related to factorial numbers

FORMULA

a(n+1)= (10*n+1)(!^10) := product(10*k+1, k=0..n), n >= 0; E.g.f. -1+(1-10*x)^(-1/10).

MAPLE

restart: G(x):=-1+(1-10*x)^(-1/10): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=1..14); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]

CROSSREFS

Cf. A035265, A035272-A035279, A008542, A048176.

Sequence in context: A077736 A068122 A015287 this_sequence A144773 A061115 A098321

Adjacent sequences: A045754 A045755 A045756 this_sequence A045758 A045759 A045760

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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