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

1,1

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.

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: A108226 A337146 A122730 * A334557 A146238 A039339

Adjacent sequences: A101164 A101165 A101166 * A101168 A101169 A101170

Keyword

nonn

Author

Reinhard Zumkeller, Dec 03 2004

Status

approved