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A230957
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Boustrophedon transform of partition numbers A000009.
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4
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1, 2, 4, 10, 29, 94, 364, 1621, 8255, 47277, 300962, 2107479, 16099922, 133243363, 1187555333, 11340314638, 115511502857, 1250127378307, 14325404633040, 173276880401035, 2206229765086251, 29495119298584886, 413097874985119467, 6048684327982905454
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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Reinhard Zumkeller, Table of n, a(n) for n = 0..150
Peter Luschny, An old operation on sequences: the Seidel transform
J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J. Combin. Theory, 17A 44-54 1996 (Abstract, pdf, ps).
Wikipedia, Boustrophedon transform
Index entries for sequences related to boustrophedon transform
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FORMULA
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a(n) = sum(A109449(n,k)*A000009(k): k=0..n).
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MATHEMATICA
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T[n_, k_] := (n!/k!) SeriesCoefficient[(1 + Sin[x])/Cos[x], {x, 0, n - k}];
a[n_] := Sum[T[n, k] PartitionsQ[k], {k, 0, n}];
Table[a[n], {n, 0, 23}] (* Jean-François Alcover, Jul 23 2019 *)
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PROG
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(Haskell)
a230957 n = sum $ zipWith (*) (a109449_row n) a000009_list
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CROSSREFS
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Cf. A000751.
Sequence in context: A010359 A086631 A320903 * A279552 A261041 A047051
Adjacent sequences: A230954 A230955 A230956 * A230958 A230959 A230960
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller, Nov 03 2013
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STATUS
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approved
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