|
| |
|
|
A147312
|
|
Riordan array [1,log(sec(x)+tan(x))].
|
|
2
| |
|
|
1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 4, 0, 1, 0, 5, 0, 10, 0, 1, 0, 0, 40, 0, 20, 0, 1, 0, 61, 0, 175, 0, 35, 0, 1, 0, 0, 768, 0, 560, 0, 56, 0, 1, 0, 1385, 0, 4996, 0, 1470, 0, 84, 0, 1
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,13
|
|
|
COMMENTS
| Row sums are A000111. Inverse is A147311.
Production array is [cosh(x),x] with a column of 0's prepended.
The product [sec(x),x]*A147312 is A147309.
Apart from signs, same as A147311. - N. J. A. Sloane (njas(AT)research.att.com), Nov 07 2008
|
|
|
FORMULA
| T(n,m)=sum(k=m..n, A147315(n,k)*stirling1(k,m)), n>0,k>0, T(0,0)=1, T(0,k)=0, k>0. [From Vladimir Kruchinin, Mar 10 2011]
|
|
|
EXAMPLE
| Triangle begins
1,
0, 1,
0, 0, 1,
0, 1, 0, 1,
0, 0, 4, 0, 1,
0, 5, 0, 10, 0, 1,
0, 0, 40, 0, 20, 0, 1
|
|
|
CROSSREFS
| Sequence in context: A111728 A143784 A147311 * A019974 A046781 A117435
Adjacent sequences: A147309 A147310 A147311 * A147313 A147314 A147315
|
|
|
KEYWORD
| easy,nonn,tabl,more
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 05 2008
|
| |
|
|
