34729

Properties

Appears in sequences

• Expansion of 1/(1 - x^2 - x^3 - x^4) = 1/((1 + x)*(1 - x - x^3)).at n=30A013979
• Expansion of g.f.: (1-x^2-x^3)/( (1+x)*(1-x-x^3) ).at n=34A107458
• Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 10001-11111-00100 pattern in any orientation.at n=17A147390
• 3^n times the expected value of the longest run of 0's in all length n words on {0,1,2}.at n=9A209241
• a(n) is the smallest prime such that it and the previous two primes are all of the form x^2 + n * y^2.at n=13A212603
• Expansion of x*(1-x-x^2)/((1-x)*(1-x-2*x^2-x^3)).at n=16A262735
• Primes p such that 2*p-1 and (2*p-1)^2+(2*p)^2 are also prime.at n=39A347165
• Primes which satisfy the requirements of A380943 in more than one way.at n=15A383810
• Primes which satisfy the requirements of A380943 in exactly two ways.at n=14A383811
• Prime numbersat n=3709