22912

Appears in sequences

• Number of protruded partitions of n with largest part at most 4.at n=16A005405
• Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.at n=33A028589
• Theta series of odd 8-dimensional 5-modular lattice O(5).at n=33A029719
• Expansion of (3 + x^2) / (1 - x)^4.at n=31A037237
• Number of ways to color edges of a tetrahedron using <= n colors.at n=8A046023
• Number of permutations of n elements with an even number of fixed points.at n=8A062282
• Numbers k such that k*(prime(k) - 1) is a square.at n=4A073630
• a(n) = p*(p+(2n-1))/2, where p = A096822(n) is the smallest primes of form 2^x-(2n-1).at n=38A096823
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 0, -1), (1, 1, 1)}.at n=9A149424
• Triangle of coefficients of polynomials P_n(z) defined by the recursion P_0(z) = z+1; for n>=1, P_n(z) = z + Product_{k=0..n-1} P_k(z).at n=23A177701
• Even numbers in A221715.at n=45A213218
• Number of 0..5 arrays of length n with each element differing from at least one neighbor by 1 or less.at n=6A221593
• Number of 0..n arrays of length 7 with each element differing from at least one neighbor by 1 or less.at n=4A221599
• Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=8A240428
• T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=46A240433
• Number of n-length words on {0,1,2,3,4} in which 0 appears only in runs of length 2.at n=7A255117
• Number of (n+1)X(4+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nonincreasing.at n=17A263795
• G.f.: Sum_{n>=1} x^(n*(n-1)/2) * (G(x)^n + 1/G(x)^(n-1)), where G(x) is the g.f. of A268300.at n=6A268302
• E.g.f. A(x) satisfies: A( sqrt( A(x^2*exp(-x)) ) ) = x, where A(x) = Sum_{n>=1} a(n)*x^n/(2^(n-1)*(n-1)!).at n=7A273952
• Number of terms in the fully expanded n-th derivative of x^(x^x).at n=32A281434