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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: A055840 A243417 A367592 * A075143 A005769 A042941
KEYWORD
nonn
AUTHOR
Peter Luschny, Aug 06 2009
STATUS
approved

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)