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A029885 Boustrophedon transform of 1 followed by Thue-Morse sequence A001285. 5
1, 2, 5, 13, 34, 108, 415, 1841, 9381, 53733, 342086, 2395481, 18300250, 151453434, 1349856656, 12890177378, 131298281746, 1420980348324, 16283235530691, 196958363484995, 2507751773736087, 33526171616091612 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..400

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 (1996) 44-54 (Abstract, pdf, ps).

N. J. A. Sloane, Transforms.

Wikipedia, Boustrophedon transform.

Index entries for sequences related to boustrophedon transform

MATHEMATICA

tm[n_] := Mod[Sum[Mod[Binomial[n, k], 2], {k, 0, n}], 3];

T[n_, k_] := (n!/k!) SeriesCoefficient[(1 + Sin[x])/Cos[x], {x, 0, n - k}];

a[n_] := Sum[T[n, k] If[k == 0, 1, tm[k - 1]], {k, 0, n}];

Table[a[n], {n, 0, 21}] (* Jean-Fran├žois Alcover, Jul 02 2019 *)

PROG

(Haskell)

a029885 n = sum $ zipWith (*) (a109449_row n) (1 : map fromIntegral a001285_list)

-- Reinhard Zumkeller, Nov 04 2013

CROSSREFS

Cf. A109449, A001285, A230958, A230950, A230951.

Sequence in context: A064780 A148289 A148290 * A114298 A112839 A331755

Adjacent sequences:  A029882 A029883 A029884 * A029886 A029887 A029888

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Definition corrected by Reinhard Zumkeller, Nov 04 2013

STATUS

approved

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Last modified April 10 10:11 EDT 2021. Contains 342845 sequences. (Running on oeis4.)