

A101167


Nontrivial Delannoy numbers that are primes.


2



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;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Let D and T be defined as in A008288: then D(n,1)=D(1,n)=T(n,1)=T(n,n1)=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<=n2.
apart from the first term A092830 is a subsequence.


LINKS

Table of n, a(n) for n=1..40.
Eric Weisstein's World of Mathematics, Delannoy Number


EXAMPLE

D(2,7)=T(9,2)=113=A000040(30), therefore 113 is a term.


CROSSREFS

Sequence in context: A044968 A108226 A122730 * A334557 A146238 A039339
Adjacent sequences: A101164 A101165 A101166 * A101168 A101169 A101170


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, Dec 03 2004


STATUS

approved



