A230957 Boustrophedon transform of partition numbers A000009.

1, 2, 4, 10, 29, 94, 364, 1621, 8255, 47277, 300962, 2107479, 16099922, 133243363, 1187555333, 11340314638, 115511502857, 1250127378307, 14325404633040, 173276880401035, 2206229765086251, 29495119298584886, 413097874985119467, 6048684327982905454

Offset

0,2

Links

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

Formula

a(n) = sum(A109449(n,k)*A000009(k): k=0..n).

Mathematica

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 *)

Prog

(Haskell)
a230957 n = sum $ zipWith (*) (a109449_row n) a000009_list

Crossrefs

Cf. A000751.

Sequence in context: A010359 A086631 A320903 * A279552 A261041 A047051

Adjacent sequences: A230954 A230955 A230956 * A230958 A230959 A230960

Keyword

nonn

Author

Reinhard Zumkeller, Nov 03 2013

Status

approved