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A000733 Boustrophedon transform of partition numbers 1, 1, 1, 2, 3, 5, 7, ... 3
1, 2, 4, 10, 30, 101, 394, 1760, 8970, 51368, 326991, 2289669, 17491625, 144760655, 1290204758, 12320541392, 125496010615, 1358185050788, 15563654383395, 188254471337718, 2396930376564860, 32044598671291610 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

John Cerkan, Table of n, a(n) for n = 0..482

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 on transform, J. Combin. Theory, 17A 44-54 1996 (Abstract, pdf, ps).

N. J. A. Sloane, Transforms

Wikipedia, Boustrophedon_transform

Index entries for sequences related to boustrophedon transform

EXAMPLE

The array begins:

                   1

               1  ->   2

           4  <-   3  <-   1

       2  ->   6  ->   9  ->  10

  30  <-  28  <-  22  <-  13  <-   3

- John Cerkan, Jan 26 2017

MATHEMATICA

t[n_, 0] := If[n == 0, 1, PartitionsP[n-1]]; t[n_, k_] := t[n, k] = t[n, k - 1] + t[n-1, n-k]; a[n_] := t[n, n]; Array[a, 30, 0] (* Jean-Fran├žois Alcover, Feb 12 2016 *)

PROG

(Haskell)

a000733 n = sum $ zipWith (*) (a109449_row n) (1 : a000041_list)

-- Reinhard Zumkeller, Nov 04 2013

CROSSREFS

Cf. A000041, A000751, A109449, A230957.

Sequence in context: A087161 A007558 A094957 * A092073 A274232 A112846

Adjacent sequences:  A000730 A000731 A000732 * A000734 A000735 A000736

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Simon Plouffe

STATUS

approved

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Last modified March 28 02:40 EDT 2017. Contains 284182 sequences.