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A129653
Antidiagonal sums of number triangle A129652.
1
1, 1, 4, 15, 83, 556, 4435, 40773, 423836, 4908403, 62606297, 871421976, 13136605577, 213122669141, 3701085673676, 68480774296803, 1344611320542931, 27917413103561540, 611000785570868627, 14056645627856206809, 339081826905338009620, 8557085279980716462407
OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..floor(n/2)} (((n-k)!/k!)*sum{i=0..n-2k} C(n-2k-1,i)/(n-2k-i)!).
PROG
(PARI) a(n) = sum(k=0, n\2, ((n-k)!/k!)*sum(i=0, n-2*k, binomial(n-2*k-1, i)/(n-2*k-i)!)); \\ Michel Marcus, Sep 10 2015
CROSSREFS
Cf. A129652.
Sequence in context: A207161 A203121 A232220 * A081722 A117927 A143340
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 26 2007
STATUS
approved