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A000732 Boustrophedon transform of primes 1,2,3,5,7,... 5
1, 3, 8, 22, 66, 222, 862, 3838, 19542, 111894, 712282, 4987672, 38102844, 315339898, 2810523166, 26838510154, 273374835624, 2958608945772, 33903161435148, 410085034127000, 5221364826476796, 69804505809732988 (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 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

FORMULA

a(n) = sum(A109449(n,k)*A008578(k+1): k=0..n). - Reinhard Zumkeller, Nov 04 2013

MATHEMATICA

t[n_, 0] := If[n==0, 1, Prime[n]]; 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)

a000732 n = sum $ zipWith (*) (a109449_row n) a008578_list

CROSSREFS

Cf. A000747, A230953, A230954, A230955.

Sequence in context: A117420 A003101 A064443 * A092090 A011958 A260661

Adjacent sequences:  A000729 A000730 A000731 * A000733 A000734 A000735

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Simon Plouffe

STATUS

approved

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Last modified December 14 00:21 EST 2017. Contains 295976 sequences.