58345

Appears in sequences

• 100-gonal numbers: a(n) = 98*n*(n-1)/2 + n.at n=35A261276
• G.f.: Sum_{n>=0} (n+1)*(n+2)*(n+3)*(n+4)/4! * x^n * (1 + x^n)^n.at n=26A326005
• Denominator of 4/(1 + 1^2/(3 + 2^2/(5 + 3^2/(7 + ... + (n-1)^2/(2*n-1) )))).at n=8A345259
• Number of alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n.at n=38A349054
• a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/2)} binomial(n-k,k) * a(n-2*k-1).at n=13A352864
• Expansion of e.g.f. LambertW(x / (1 - 2*x)).at n=7A376106