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A090442
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Row sums of array A090452 (s2_{3,2}, scaled (3,2)-Stirling2).
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3
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1, 6, 44, 360, 3152, 28896, 273856, 2661504, 26380544, 265655808, 2710244352, 27952883712, 290977271808, 3053105307648, 32256844087296, 342870535471104, 3664053076557824, 39342496410894336, 424243929700630528, 4592400943255388160, 49885822426526253056
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OFFSET
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1,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..200
Paul Barry, Generalized Catalan Numbers Associated with a Family of Pascal-like Triangles, J. Int. Seq., Vol. 22 (2019), Article 19.5.8.
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FORMULA
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a(n) = Sum_{m=2..2*n} A090452(n, m).
Recurrence: (n+1)*a(n) = 6*(2*n-1)*a(n-1) - 4*(n-2)*a(n-2). - Vaclav Kotesovec, Oct 14 2012
a(n) ~ sqrt(4+3*sqrt(2))*(6+4*sqrt(2))^n/(8*sqrt(Pi)*n^(3/2)). - Vaclav Kotesovec, Oct 14 2012
a(n) = 2^(n-1) * A001003(n) = 2^(n-2) * A006318(n). - Jacob Post, Jun 19 2018
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MATHEMATICA
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RecurrenceTable[{(n+1)*a[n] == 6*(2*n-1)*a[n-1] - 4*(n-2)*a[n-2], a[1]==1, a[2]==6}, a, {n, 20}] (* Vaclav Kotesovec, Oct 14 2012 *)
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CROSSREFS
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Cf. A001003, A006318, A090452.
Sequence in context: A005591 A052204 A147688 * A286867 A084965 A203159
Adjacent sequences: A090439 A090440 A090441 * A090443 A090444 A090445
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang, Dec 23 2003
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STATUS
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approved
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