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A119259
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Central terms of the triangle in A119258.
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1
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1, 3, 17, 111, 769, 5503, 40193, 297727, 2228225, 16807935, 127574017, 973168639, 7454392321, 57298911231, 441739706369, 3414246490111, 26447737520129, 205272288591871, 1595964714385409, 12427568655368191, 96905907580960769
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = A119258(2*n,n).
a(n) = sum{k=0..n, C(2n,k)*C(2n-k-1,n-k)};. - Paul Barry (pbarry(AT)wit.ie), Sep 28 2007
a(n) = sum{k=0..n, C(n+k-1,k)2^k}; - Paul Barry (pbarry(AT)wit.ie), Sep 28 2007
2*a(n) = A064062(n)+A178792(n) [Joseph Abate (abate2020(AT)webtv.net, Jul 21, 2010]
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MATHEMATICA
| Table[Binomial[2k - 1, k] Hypergeometric2F1[-2k, -k, 1 - 2k, -1], {k, 0, 10}] (* Vladimir Reshetnikov (v.reshetnikov(AT)gmail.com), Feb 16 2011 *)
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CROSSREFS
| Cf. A005408, A056220, A000225, A000337, A055580, A027608.
Sequence in context: A123772 A103730 A074556 * A131204 A174404 A112111
Adjacent sequences: A119256 A119257 A119258 * A119260 A119261 A119262
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KEYWORD
| nonn,easy
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 11 2006
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EXTENSIONS
| More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 26 2011
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