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Search: id:A007415
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A007415 Expand sin x / exp x = x-x^2+x^3/3-x^5/30+... and invert nonzero coefficients. +0
6
0, 1, -1, 3, 0, -30, 90, -630, 0, 22680, -113400, 1247400, 0, -97297200, 681080400, -10216206000, 0, 1389404016000, -12504636144000, 237588086736000, 0, -49893498214560000, 548828480360160000, -12623055048283680000 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n) = [n mod 4 > 0] * (-1)^(n+1+[n/4]) * n!/2^[n/2]. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 06 2004

CROSSREFS

Absolute values are essentially the same as A046979, where zeros are replaced by ones.

a(4n+2) = -(-1)^n*A052277(n), a(2n+1) = (-1)^[n/2]*A007019(n).

Cf. A046981, A007452, A009775, A092820.

Adjacent sequences: A007412 A007413 A007414 this_sequence A007416 A007417 A007418

Sequence in context: A057379 A009777 A138543 this_sequence A058833 A012775 A105751

KEYWORD

sign

AUTHOR

njas

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.


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