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Mathematics > Number Theory

arXiv:1006.2776 (math)
This paper has been withdrawn by Zhi-Wei Sun
[Submitted on 14 Jun 2010 (v1), last revised 22 Jun 2011 (this version, v12)]

Title:On Apery numbers and generalized central trinomial coefficients

Authors:Zhi-Wei Sun
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Abstract:We decide to combine this preprint with two other ones (arXiv:1101.1946 and arXiv:1008.3887). The results on Apery numbers and polynomials will be added to the new version of arXiv:1101.1946, and those results on generalized trinomial coefficients will be added to the new version of arXiv:1008.3887
Comments: Withdraw this preprint since the results will be added to arXiv:1101.1946 and arxiv 1008.3887
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
MSC classes: 11A07, 11B65, 05A10, 05A19, 11B68, 11E25
Cite as: arXiv:1006.2776 [math.NT]
  (or arXiv:1006.2776v12 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.1006.2776

Submission history

From: Zhi-Wei Sun [view email]
[v1] Mon, 14 Jun 2010 17:24:29 UTC (5 KB)
[v2] Tue, 15 Jun 2010 19:53:56 UTC (5 KB)
[v3] Wed, 16 Jun 2010 17:18:09 UTC (7 KB)
[v4] Thu, 17 Jun 2010 17:45:09 UTC (7 KB)
[v5] Mon, 21 Jun 2010 19:59:26 UTC (7 KB)
[v6] Mon, 5 Jul 2010 19:59:13 UTC (9 KB)
[v7] Wed, 7 Jul 2010 19:57:41 UTC (10 KB)
[v8] Thu, 8 Jul 2010 18:03:18 UTC (10 KB)
[v9] Tue, 17 Aug 2010 19:53:30 UTC (12 KB)
[v10] Wed, 18 Aug 2010 19:54:01 UTC (13 KB)
[v11] Thu, 19 Aug 2010 19:59:22 UTC (13 KB)
[v12] Wed, 22 Jun 2011 15:59:33 UTC (1 KB) (withdrawn)
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