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A122832 Exponential Riordan array (e^(x(1+x)),x). 1
1, 1, 1, 3, 2, 1, 7, 9, 3, 1, 25, 28, 18, 4, 1, 81, 125, 70, 30, 5, 1, 331, 486, 375, 140, 45, 6, 1, 1303, 2317, 1701, 875, 245, 63, 7, 1, 5937, 10424, 9268, 4536, 1750, 392 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

Row sums are A000898. Inverse is A122833. Product of A007318 and A067147.

FORMULA

Number triangle T(n,k)=(n!/k!)sum{i=0..n-k, C(i,n-k-i)/i!}

EXAMPLE

Triangle begins

1,

1, 1,

3, 2, 1,

7, 9, 3, 1,

25, 28, 18, 4, 1,

81, 125, 70, 30, 5, 1

CROSSREFS

Sequence in context: A145035 A192020 A171128 * A056151 A134436 A186370

Adjacent sequences:  A122829 A122830 A122831 * A122833 A122834 A122835

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 12 2006

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Last modified February 13 11:07 EST 2012. Contains 205459 sequences.