36142

Appears in sequences

• a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(2) = 4.at n=32A050039
• Recursive sequence generated from a Petersen graph.at n=6A131435
• Molecular topological indices of the web graphs.at n=16A192850
• Number of integer partitions of n whose parts plus 1 are relatively prime.at n=39A318980
• Number of divisors of n! with distinct prime multiplicities.at n=26A336414
• The internal state of the Sinclair ZX81 and Spectrum random number generator.at n=31A357907
• a(n) = coefficient of x^n/n! in A(x) = Sum_{n>=0} x^n/n! * ( (1 + sqrt(n)*x)^sqrt(n) + 1/(1 - sqrt(n)*x)^sqrt(n) )/2.at n=7A359459
• G.f. A(x) = Sum_{n>=0} x^n * Product_{k=0..n} ((1+x)^(n-k+1) - x^k).at n=9A384832