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Search: id:A101167
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| A101167 |
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Nontrivial Delannoy numbers that are primes. |
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+0
3
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| 13, 41, 61, 113, 181, 313, 421, 613, 761, 1013, 1201, 1289, 1301, 1741, 1861, 2113, 2381, 2521, 3121, 3613, 4513, 5101, 5641, 7321, 8581, 9661, 9941, 10513, 11969, 12641, 13613, 14281, 14621, 15313, 16381, 19013, 19801, 20201, 21013, 21841
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Let D and T be defined as in A008288: then D(n,1)=D(1,n)=T(n,1)=T(n,n-1)=2*n+1, therefore all odd primes are Delannoy numbers; the sequence contains only primes of form D(n,k) with n>1 and k>1, resp. T(n,k) with 2<=k<=n-2.
apart from the first term A092830 is a subsequence.
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LINKS
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Eric Weisstein's World of Mathematics, Delannoy Number
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EXAMPLE
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D(2,7)=T(9,2)=113=A000040(30), therefore 113 is a term.
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CROSSREFS
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Sequence in context: A044968 A108226 A122730 this_sequence A039339 A031373 A043162
Adjacent sequences: A101164 A101165 A101166 this_sequence A101168 A101169 A101170
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 03 2004
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