67957

Properties

Appears in sequences

• Expansion of (1+3*x+9*x^2+12*x^3+11*x^4+3*x^5+x^6)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=25A055383
• Numerator of floor(e*10^n)/10^n, where e = exp(1) = A001113.at n=5A195604
• Number of n X 3 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.at n=6A284108
• Number of n X 7 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.at n=2A284112
• T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.at n=38A284113
• T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.at n=42A284113
• Number of ways to split an integer partition of n into contiguous subsequences with weakly increasing sums.at n=32A336136
• Sixth Lie-Betti number of a path graph on n vertices.at n=15A364946
• a(n) is the smallest prime prime(k) such that prime(k-n) and prime(k+n) are balanced primes of order n.at n=8A374576
• Prime numbersat n=6769