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A166317 Exponential Riordan array [sec(2x), atanh(tan(x))]. 2
1, 0, 1, 4, 0, 1, 0, 16, 0, 1, 80, 0, 40, 0, 1, 0, 640, 0, 80, 0, 1, 3904, 0, 2800, 0, 140, 0, 1, 0, 49152, 0, 8960, 0, 224, 0, 1, 354560, 0, 319744, 0, 23520, 0, 336, 0, 1, 0, 6225920, 0, 1454080, 0, 53760, 0, 480, 0, 1, 51733504, 0, 54897920, 0, 5230720, 0, 110880, 0, 660 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

Row sums are A012259(n+1). Inverse is A166318. A166318 is a signed version of A166317.

EXAMPLE

Triangle begins

1,

0, 1,

4, 0, 1,

0, 16, 0, 1,

80, 0, 40, 0, 1,

0, 640, 0, 80, 0, 1,

3904, 0, 2800, 0, 140, 0, 1,

0, 49152, 0, 8960, 0, 224, 0, 1,

354560, 0, 319744, 0, 23520, 0, 336, 0, 1,

0, 6225920, 0, 1454080, 0, 53760, 0, 480, 0, 1,

51733504, 0, 54897920, 0, 5230720, 0, 110880, 0, 660, 0, 1

Production matrix is

0, 1,

4, 0, 1,

0, 12, 0, 1,

16, 0, 24, 0, 1,

0, 80, 0, 40, 0, 1,

64, 0, 240, 0, 60, 0, 1,

0, 448, 0, 560, 0, 84, 0, 1,

256, 0, 1792, 0, 1120, 0, 112, 0, 1,

0, 2304, 0, 5376, 0, 2016, 0, 144, 0, 1

which is the exponential Riordan array [cosh(2x),x] minus its top row.

CROSSREFS

Sequence in context: A117435 A117436 A166318 * A068346 A006838 A061309

Adjacent sequences:  A166314 A166315 A166316 * A166318 A166319 A166320

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 11 2009

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Last modified February 15 13:31 EST 2012. Contains 205802 sequences.