46208

Appears in sequences

• exp(sec(x)*arctan(x))=1+x+1/2!*x^2+2/3!*x^3+5/4!*x^4+40/5!*x^5...at n=9A012801
• sinh(sec(x)*arctan(x))=x+2/3!*x^3+40/5!*x^5+576/7!*x^7+46208/9!*x^9...at n=4A012807
• Let M be the 3 X 3 Matrix [ -4 4 8 / 1 0 0 / 0 1 0], a(n) = absolute value of the center term of M^n * [1 1 1].at n=7A094253
• Powerful(1) numbers (A001694) that are sums of distinct factorials.at n=18A115645
• Sum of the odd parts in all partitions of n into distinct parts.at n=45A116682
• Numbers with prime signature {7,2}, i.e., of form p^7*q^2 with p and q distinct primes.at n=7A179689
• Numbers of the form (24*x + 1)*2^(y+6) with positive integers x and y.at n=25A231203
• a(n) = 32*n^2.at n=38A244082
• Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 4*x + 2.at n=22A257612
• Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 4*x + 2.at n=26A257612
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.at n=39A267829
• a(n) = (1/8)*A291387(n).at n=6A291388
• Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero.at n=15A298491
• Heinz numbers of integer partitions whose distinct consecutive subsequences have distinct sums that cover an initial interval of positive integers.at n=45A325764
• Numbers k for which sqrt(k/2) divides k and the symmetric representation of sigma(k) consists of a single part and its width at the diagonal equals 1.at n=36A365265