26086

Appears in sequences

• a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=37A006004
• a(n) = Sum_{k=0..2n-2} T(n,k) * T(n,k+2), with T given by A027082.at n=4A027111
• a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=37A050043
• Expansion of psi(-x^3) / phi(-x) in powers of x where psi(), phi() are Ramanujan theta functions.at n=27A132218
• 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, -1, 0), (-1, 0, 0), (0, 1, 0), (1, 0, -1), (1, 0, 1)}.at n=8A150252
• The number of trisubstitution products with composition C_n H_(2n-1) X_2 Y.at n=23A159940
• Number of (w,x,y) with all terms in {0,...,n} and x != min(|w-x|, |x-y|).at n=29A213502
• Number of n X 4 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.at n=10A266931
• Sum of the prime numbers appearing along the border of an n X n square array whose elements are the numbers from 1..n^2, listed in increasing order by rows.at n=41A344846
• Number of subsets of {1..n} with all distinct lengths of maximal runs (increasing by 1).at n=18A384175