23777

Appears in sequences

• a(n) = (1/24)*n*(n + 5)*(n^2 + n + 6).at n=25A051743
• 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, 1), (-1, 0, 1), (0, 0, 1), (1, 0, -1), (1, 1, -1)}.at n=9A148880
• G.f.: 1/(1 - x/(1 - x^4/(1 - x^7/(1 - x^10/(1 - x^13/(1 - x^16/(1 -...- x^(3*n-2)/(1 -...)))))))), a continued fraction.at n=33A206737
• (8*n^3 + 3*n^2 + n) / 6.at n=25A219054
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 501", based on the 5-celled von Neumann neighborhood.at n=32A272566
• Number of strict integer compositions of n whose leaders of increasing runs are increasing.at n=38A376263