1556755200

Appears in sequences

• Expansion of e.g.f.: (1 - 4*x + 3*x^2)*(1 - 2*x - sqrt(1-4*x))/2 - x^2 + 2*x^3.at n=10A052720
• E.g.f.: (1-2x-sqrt(1-4*x))*x^2/2.at n=10A052732
• E.g.f.: x^2*(1-sqrt(1-4*x))/2.at n=10A052733
• n!*(3*n^2-13*n+14)/6.at n=9A108033
• Denominators of convergents to Magata's constant.at n=13A118204
• a(2) = 1, a(3)=3; for n >= 4, a(n) = (n-2)!*Stirling_2(n,n-1)/2 = n!/4.at n=11A133799
• Array T(n,m)= (n*m)!*Beta(n, m) read by antidiagonals.at n=29A177847
• Denominator of expression W_n occurring in analysis of bubble sort.at n=13A190187
• Number of n-length words w over a 10-ary alphabet {a1,a2,...,a10} such that #(w,a1) >= #(w,a2) >= ... >= #(w,a10) >= 1, where #(w,x) counts the letters x in word w.at n=3A226889
• Pt(n) mod n!, where Pt(n) is product of first n positive triangular numbers (A000217).at n=12A233004
• Number of 10-ary heaps on n elements.at n=14A273697
• Number of permutations of [2n] in which the size of the last cycle is n and the cycles are ordered by increasing smallest elements.at n=7A322450
• Denominators of coefficients in the expansion given in A340825 (see Comments at A340844).at n=11A340845
• Expansion of e.g.f. (1 - x^4)^(-1/x).at n=13A353224
• Expansion of e.g.f. (1 - x^3)^(-x).at n=13A353227
• Expansion of e.g.f. 1 / (1 + x * log(1 - x^3)).at n=13A375562
• Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x*log(1-x^3)) ).at n=13A376346
• Expansion of e.g.f. (1/x) * Series_Reversion( x - (exp(x^3) - 1)^2/x ).at n=13A392795
• Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 + (exp(x^3) - 1)^2/x^2) ).at n=13A392892
• E.g.f. A(x) satisfies A(x) = 1 - x*A(x) * log(1 - x^3*A(x)^3).at n=13A392938