131104

Appears in sequences

• a(n) = Sum_{d|n} phi(d)*2^(n/d).at n=17A053635
• a(n) = Sum_{odd d|n} phi(d)*2^(n/d).at n=17A053636
• a(n) = (8^n + 2^n)/2.at n=6A081342
• a(n) = 10*a(n-2) - 16*a(n-4) for n > 3, a(0) = 1, a(1) = 5, a(2) = 14, a(3) = 34.at n=11A083332
• A067076 + A000079/2.at n=18A092176
• Partial quotients of the continued fraction of the constant defined by binary sums involving Beatty sequences: c = Sum_{n>=1} 1/2^A049472(n) = Sum_{n>=1} A001951(n)/2^n.at n=4A119810
• Number of partitions of the graph G_n (defined below) into "strokes".at n=16A131520
• a(n) = Sum_{k=0..n} binomial(n,k) * gcd(n,k).at n=16A159553
• n^2*(n^4+1)/2.at n=8A168122
• a(n) = n^3*(n^6 + 1)/2.at n=4A168187
• a(n) = 32*(2^n + 1).at n=12A175163
• Number of binary words of length n with exactly one occurrence of subword 010 and exactly one occurrence of subword 101.at n=21A255386
• a(n) = Sum_{d|n} 2^d*phi(2*n/d).at n=16A306898
• a(n) = (n - 1)*(4*n^2 - 8*n + 5).at n=32A317297
• Numbers that are the sum of five fifth powers in two or more ways.at n=11A342685
• Numbers that are the sum of five fifth powers in exactly two ways.at n=11A342686