68798

Appears in sequences

• Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.at n=21A021013
• a(n) = n^3 - 3*n.at n=41A121670
• Number of peaks at even level in all Dyck paths of semilength n with no UUU's and no DDD's, (U=(1,1), D=(1,-1)). These Dyck paths are counted by the secondary structure numbers (A004148).at n=12A166294
• Half the number of (n+1)X(n+1) symmetric 0..1 arrays with no 2X2 subblock summing to 2.at n=5A213690
• T(n,k)=Half the number of (n+1)X(n+1) symmetric 0..k arrays with no 2X2 subblock summing to 2k.at n=20A213697
• Half the number of 7X7 0..n symmetric arrays with no 2X2 subblock summing to 2n.at n=0A213702
• Total number of smallest parts that are also emergent parts in all partitions of n with at least one distinct part: a(n) = n + d(n) + p(n-1) + spt(n) - A000070(n) - sigma(n) - 1.at n=49A220483
• Numbers k such that (68*10^k - 11)/3 is prime.at n=20A293399