31312

Appears in sequences

• Integer part of log(n^n)^(1 + log(1 + log(n))).at n=23A062449
• Nearest integer to log(n^n)^(1 + log(1 + log(n))).at n=23A062450
• On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps (starting with the center vacant).at n=9A112737
• G.f.: (x^2+6*x^3+7*x^4+8*x^5+4*x^6-3*x^8-2*x^9-x^10) / ((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).at n=15A127813
• a(n) = n*(Fibonacci(n) - 1) + Fibonacci(n + 2) - 1.at n=16A131412
• A104449(n+1)+prime(n), sum of a Lucas and the prime sequence.at n=19A160244
• Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i, p(1) <= 2, and p(4) >= 2.at n=11A188495
• Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x=R, y=R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}.at n=14A212751
• Number of compositions of n with exactly three occurrences of the largest part.at n=17A243738
• a(n) = Sum_{k=0..n} binomial(n, k) * binomial((n-k)*k, k).at n=7A264409
• Numbers which are representable as a sum of nineteen but no fewer consecutive nonnegative integers.at n=36A270303
• Numbers k such that k!6 + 9 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=34A288154
• Number of closed meanders with 2n crossings and 5 digons.at n=15A300901
• Number of partitions of 2n that describe the degree sequence of exactly one labeled multigraph with no loops.at n=38A328863