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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
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.
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-François Alcover, Jul 02 2019 *)
PROG
(Haskell)
a029885 n = sum $ zipWith (*) (a109449_row n) (1 : map fromIntegral a001285_list)
-- Reinhard Zumkeller, Nov 04 2013
CROSSREFS
Sequence in context: A368599 A148289 A148290 * A114298 A112839 A331755
KEYWORD
nonn
AUTHOR
EXTENSIONS
Definition corrected by Reinhard Zumkeller, Nov 04 2013
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)