22305

Appears in sequences

• Expansion of arcsin(cos(x)*sin(x)) = x - 3/3!*x^3 - 15/5!*x^5 + 357/7!*x^7 + 22305/9!*x^9...at n=4A012474
• Numbers having four 3's in base 9.at n=26A043468
• Numbers whose base-3 representation has exactly 10 runs.at n=24A043590
• Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 10.at n=24A043815
• Integer part of log(n)^(n - 1).at n=11A062415
• Nearest integer to log(n)^(n-1).at n=11A062416
• Number of compositions (ordered partitions) of n whereby at most 1 increase is allowed and this increase must be by 1.at n=25A090752
• Expansion of 1/(1 - x + x^4).at n=60A099530
• a(n) is the n-th J_8-prime (Josephus_8 prime).at n=10A163788
• G.f.: exp( Sum_{n>=1} A163659(n^2)*x^n/n ), where x*exp(Sum_{n>=1} A163659(n)*x^n/n) = S(x) is the g.f. of Stern's diatomic series (A002487).at n=24A195586
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 486", based on the 5-celled von Neumann neighborhood.at n=38A272508
• Where records of A309036 occur.at n=10A309056
• a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4), with a(1) = a(2) = a(3) = a(4) = 1.at n=41A343885
• a(n) = Sum_{k=0..n} (-1)^k * binomial(3*k,n-k).at n=20A360087
• Number of distinct determinants of 3 X 3 matrices with entries from {0, 1, ..., n}.at n=19A366158