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A000747 Boustrophedon transform of primes. 7
2, 5, 13, 35, 103, 345, 1325, 5911, 30067, 172237, 1096319, 7677155, 58648421, 485377457, 4326008691, 41310343279, 420783672791, 4553946567241, 52184383350787, 631210595896453, 8036822912123765, 107444407853010597 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

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)*A000040(k+1): k=0..n). - Reinhard Zumkeller, Nov 03 2013

E.g.f.: (sec(x) + tan(x)) * Sum_{k>=0} prime(k+1)*x^k/k!. - Ilya Gutkovskiy, Jun 26 2018

MATHEMATICA

t[n_, 0] := Prime[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)

a000747 n = sum $ zipWith (*) (a109449_row n) a000040_list

-- Reinhard Zumkeller, Nov 03 2013

CROSSREFS

Cf. A230953, A230956, A230954, A230955.

Sequence in context: A258450 A131868 A272064 * A151259 A149853 A148291

Adjacent sequences:  A000744 A000745 A000746 * A000748 A000749 A000750

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 20 10:59 EDT 2018. Contains 316379 sequences. (Running on oeis4.)