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A024428 S(n,n) + S(n-1,n-2) + S(n-2,n-4) + ... + S(n-k+1,n-2k+2), where k = [ (n+1)/2 ] and S(i,j) are Stirling numbers of second kind. 0
1, 1, 2, 4, 8, 18, 42, 102, 260, 684, 1860, 5216, 15020, 44388, 134336, 415672, 1313696, 4234904, 13911528, 46525992, 158279872, 547327904, 1922455440, 6854491840, 24794405328 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..25.

FORMULA

G.f.: sum{k>=0, x^k/prod[l=1..k, 1-lx^2]}. - Ralf Stephan, Apr 18 2004

G.f.: 1/x/Q(0) - 1/x where Q(k)= 1 - x/(1 - x^2*(k+1)/Q(k+1)); (continued fraction). - Sergei N. Gladkovskii, Apr 14 2013

CROSSREFS

Sequence in context: A078678 A261492 A027056 * A049075 A318797 A318850

Adjacent sequences:  A024425 A024426 A024427 * A024429 A024430 A024431

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified June 25 04:06 EDT 2019. Contains 324345 sequences. (Running on oeis4.)