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A129652
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Exponential Riordan array [e^(x/(1-x)),x].
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3
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1, 1, 1, 3, 2, 1, 13, 9, 3, 1, 73, 52, 18, 4, 1, 501, 365, 130, 30, 5, 1, 4051, 3006, 1095, 260, 45, 6, 1, 37633, 28357, 10521, 2555, 455, 63, 7, 1, 394353, 301064, 113428, 28056, 5110, 728, 84, 8, 1, 4596553, 3549177, 1354788
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Row sums are A052844. Diagonal sums are A129653. Satisfies the equation e^[x/(1-x),x]=e*[e^(x/(1-x)),x].
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FORMULA
| Number triangle T(n,k)=(n!/k!)*sum{i=0..n-k, C(n-k-1,i)/(n-k-i)!}
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EXAMPLE
| Triangle begins
1,
1, 1,
3, 2, 1,
13, 9, 3, 1,
73, 52, 18, 4, 1,
501, 365, 130, 30, 5, 1,
4051, 3006, 1095, 260, 45, 6, 1
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CROSSREFS
| Sequence in context: A104980 A134090 A132845 * A154921 A127126 A161133
Adjacent sequences: A129649 A129650 A129651 * A129653 A129654 A129655
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 26 2007
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