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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 FORMULA a(n) = sum(A109449(n,k)*A008578(k+1): k=0..n). - Reinhard Zumkeller, Nov 04 2013 E.g.f.: (sec(x) + tan(x))*(1 + Sum_{k>=1} prime(k)*x^k/k!). - Ilya Gutkovskiy, Apr 23 2019 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-François 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 STATUS approved

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Last modified February 18 03:44 EST 2020. Contains 332006 sequences. (Running on oeis4.)