29723

Properties

Appears in sequences

• Number of lattice paths from (0,0) to the line x+y=n that use the step set {(0,1),(1,0),(2,0),(3,0),...} and never pass below y=x.at n=15A089324
• Sum of smallest parts (counted with multiplicity) of all partitions of n.at n=29A092309
• Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=33A095673
• Triangle read by rows: odd-numbered rows of A106580.at n=70A106595
• Triangle read by rows: odd-numbered rows of A106580.at n=71A106595
• Triangle read by rows: T(n,k) (0 <= k <= floor(n/2)) is the number of Delannoy paths of length n, having k EE's crossing the line y = x (i.e., two consecutive E steps from the line y = x+1 to the line y = x-1).at n=16A110121
• Number of Delannoy paths of length n with no EE's crossing the line y = x (i.e., no two consecutive E steps from the line y = x+1 to the line y = x-1).at n=7A110122
• Number of partitions of n having no parts equal to the size of their Durfee squares.at n=47A118199
• Define two triangular arrays by: B(0,0)=C(0,0)=1, B(0,r)=C(0,r)=0 for r>0, C(t,-1)=C(t,0); and for t,r >= 0, B(t+1,r)=C(t,r-1)+2C(t,r)-B(t,r), C(t+1,r)=B(t+1,r)+2B(t+1,r+1)-C(t,r). Sequence gives array C(t,r) read by rows.at n=28A177020
• Primes of the form 2*n^2 + 50*n + 23.at n=24A217496
• Primes p with same last two digits as k, where prime(k) = p.at n=32A232102
• Prime numbers that have a decagonal (10 sides) Voronoi cell in the Voronoi diagram of the Ulam prime spiral.at n=6A257748
• Primes p such that 2*p+1 and 4*p^2+1 are also prime.at n=35A333803
• Discriminants of imaginary quadratic fields with class number 29 (negated).at n=39A351667
• Indices of terms in A352808 that are powers of 2.at n=16A354141
• Primes p such that 2*p^2 - 7, 2*p^2 - 1, and 2*p^2 + 3 are prime.at n=7A356510
• Number of integer compositions of n whose first differences are not all distinct.at n=16A389743
• Prime numbersat n=3223