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Search: id:A166354
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| A166354 |
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Row sums of exponential Riordan array [1+x*tan(x/2),x], A166353. |
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+0
2
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| 1, 1, 2, 4, 8, 16, 34, 78, 200, 568, 1806, 6282, 24052, 99100, 443178, 2107966, 10775664, 58092112, 334087750, 2012990930, 12863046636, 85662585604, 602124105122, 4391793687974, 33676375206568, 266989039507576
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Binomial transform of aerated Genocchi number variant with e.g.f. 1+x*tan(x/2).
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FORMULA
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E.g.f.: exp(x)*(1+x*tan(x/2));
a(n)=sum{k=0..n, C(n,k)*G(k/2)(1+(-1)^k)/2} where
G(n)=0^n+2(-1)^n*(1-4^n)*sum{k=0..2n, sum{j=0..k, (-1)^j*C(k,j)*j^(2n)/(k+1)}}.
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CROSSREFS
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Cf. A110501.
Sequence in context: A006981 A003427 A045648 this_sequence A013025 A034339 A126137
Adjacent sequences: A166351 A166352 A166353 this_sequence A166355 A166356 A166357
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 12 2009
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