162319

Appears in sequences

• a(n) = Product_{i=1..n-1} (Product_{k=1..i} p_k + Product_{k=i+1..n} p_k).at n=3A111392
• On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps that can still be reduced to one peg at the center (starting with the center vacant).at n=13A112738
• On the standard 33-hole cross-shaped peg solitaire board, the number of distinct board positions after n jumps that can still be reduced to one peg at the center (starting with the center vacant).at n=18A112738
• Expansion of A(x) = (1 + 2*x^2 + 6*x^3 + 9*x^4 + 8*x^5 + 5*x^6) / (1 - x - 2*x^2 - 3*x^3 - 3*x^4 - 2*x^5 - x^6).at n=12A187004
• L.g.f.: Sum_{n>=1} a(n)*x^n/n = Sum_{n>=1} x^n/n * exp( Sum_{k>=1} a(k)*x^(n*k)/k ).at n=12A209397