37786

Appears in sequences

• Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=46A017845
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (Fibonacci numbers).at n=17A024872
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (F(2), F(3), F(4), ...).at n=16A024874
• Number of subgroups of index n of the braid group on 3 strands <a,b|aba=bab>= <c,d|c^2=d^3>, the fundamental group of the complement of a trefoil knot.at n=17A061207
• Partial sums of usigma(n)^2: square of the sum of unitary divisors of n.at n=37A074789
• G.f.: Sum_{n>=0} x^n/Product_{k=1..n} (1 - Lucas(k)*x^k + (-1)^k*x^(2*k)).at n=16A206140
• Number of even-length compositions of n with alternating parts distinct.at n=21A342532