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A231179 Boustrophedon transform of nonnegative integers, cf. A001477. 7
0, 1, 4, 12, 36, 120, 462, 2058, 10472, 59976, 381770, 2673374, 20422908, 169020852, 1506427678, 14385323610, 146527700944, 1585801332848, 18171944693586, 219803766565366, 2798628476670180, 37414906698747564, 524019526485293894, 7672827408344428242 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = A231200(n) / 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 44-54 1996 (Abstract, pdf, ps).

Wikipedia, Boustrophedon_transform

Index entries for sequences related to boustrophedon transform

FORMULA

a(n) = Sum_{k=1..n} k * A109449(n,k).

E.g.f.: x*exp(x)*(sec(x)+tan(x)). (After Sergei N. Gladkovskii in A000660.) - Peter Luschny, Oct 28 2014

a(n) = A000660(n) - A000111(n). - Sergei N. Gladkovskii, Oct 28 2014

a(n) ~ n! * exp(Pi/2) * 2^(n+1) / Pi^n. - Vaclav Kotesovec, Jun 12 2015

PROG

(Haskell)

a231179 n = sum $ zipWith (*) (a109449_row n) [0..]

CROSSREFS

Cf. A000737, A000660.

Sequence in context: A192205 A055395 A113990 * A192010 A252697 A056383

Adjacent sequences:  A231176 A231177 A231178 * A231180 A231181 A231182

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Nov 05 2013

STATUS

approved

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Last modified February 24 06:13 EST 2018. Contains 299597 sequences. (Running on oeis4.)