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 A163845 Row sums of triangle A163842. 1
 1, 13, 109, 765, 4881, 29369, 169919, 956237, 5272945, 28632525, 153638211, 816715073, 4309138419, 22598433555, 117926579385, 612863125965, 3174156512865 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = sum{k=0..n} sum{i=k..n} binomial(n-k,n-i)*(2i+1)\$ where i\$ denotes the swinging factorial of i (A056040). LINKS Peter Luschny, Swinging Factorial. MAPLE swing := proc(n) option remember; if n = 0 then 1 elif irem(n, 2) = 1 then swing(n-1)*n else 4*swing(n-1)/n fi end: a := proc(n) local i, k; add(add(binomial(n-k, n-i)*swing(2*i+1), i=k..n), k=0..n) end: CROSSREFS Cf. A163842. Sequence in context: A002648 A055840 A243417 * A075143 A005769 A042941 Adjacent sequences:  A163842 A163843 A163844 * A163846 A163847 A163848 KEYWORD nonn AUTHOR Peter Luschny, Aug 06 2009 STATUS approved

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Last modified August 15 09:12 EDT 2018. Contains 313756 sequences. (Running on oeis4.)