A101167 Nontrivial Delannoy numbers that are primes.

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

Offset: 1

Author

Reinhard Zumkeller, Dec 03 2004

Keywords

• nonn

Comments

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.

Examples

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

Links

• Eric Weisstein's World of Mathematics, Delannoy Number