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A230958 Boustrophedon transform of Thue-Morse sequence A001285. 3
1, 3, 7, 15, 39, 127, 480, 2143, 10907, 62495, 397814, 2785861, 21282228, 176133285, 1569817724, 14990658724, 152693582275, 1652531857935, 18936620009722, 229053108410969, 2916394751599614, 38989325834726043, 546070266163669664, 7995699956778626764 (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 Ser. A, 76(1) (1996), 44-54 (Abstract, pdf, ps).
J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J. Combin. Theory Ser. A, 76(1) (1996), 44-54.
Ludwig Seidel, Über eine einfache Entstehungsweise der Bernoulli'schen Zahlen und einiger verwandten Reihen, Sitzungsberichte der mathematisch-physikalischen Classe der königlich bayerischen Akademie der Wissenschaften zu München, volume 7 (1877), 157-187. [USA access only through the HATHI TRUST Digital Library]
Ludwig Seidel, Über eine einfache Entstehungsweise der Bernoulli'schen Zahlen und einiger verwandten Reihen, Sitzungsberichte der mathematisch-physikalischen Classe der königlich bayerischen Akademie der Wissenschaften zu München, volume 7 (1877), 157-187. [Access through ZOBODAT]
FORMULA
a(n) = Sum_{k=0..n} A109449(n,k)*A001285(k).
MATHEMATICA
T[n_, k_] := (n!/k!) SeriesCoefficient[(1 + Sin[x])/Cos[x], {x, 0, n - k}];
tm[n_] := Mod[Sum[Mod[Binomial[n, k], 2], {k, 0, n}], 3];
Table[Sum[T[n, k] tm[k], {k, 0, n}], {n, 0, 23}] (* Jean-François Alcover, Jul 23 2019 *)
PROG
(Haskell)
a230958 n = sum $ zipWith (*) (a109449_row n) $ map fromIntegral a001285_list
(Python)
from itertools import accumulate, count, islice
def A230958_gen(): # generator of terms
blist = tuple()
for i in count(0):
yield (blist := tuple(accumulate(reversed(blist), initial=2 if i.bit_count()&1 else 1)))[-1]
A230958_list = list(islice(A230958_gen(), 30)) # Chai Wah Wu, Apr 17 2023
CROSSREFS
Sequence in context: A147106 A078161 A216616 * A146033 A147188 A050565
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Nov 04 2013
STATUS
approved

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Last modified March 18 22:29 EDT 2024. Contains 370951 sequences. (Running on oeis4.)