20063

Properties

Appears in sequences

• a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 3, 1, 1, 3.at n=10A025254
• Shifts left under transform T where Ta is (identity) DCONV a.at n=44A038046
• Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=36A046961
• Number of partitions of n with at most 2 odd parts.at n=50A100835
• Number of partitions of n with at most 3 odd parts.at n=50A114312
• Primes congruent to 3 mod 59.at n=39A142730
• Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-0110-0011 pattern in any orientation.at n=14A146451
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 1, 0), (1, 0, -1), (1, 1, 1)}.at n=8A149634
• Numbers of the form prime(prime(prime(k))) with a digit sum which is prime.at n=33A162252
• Diagonal sums of second binomial transform of the Narayana triangle A001263.at n=8A178578
• Monotonic ordering of set S generated by these rules: if x and y are in S and xy+1 is a prime, then xy+1 is in S, and 2, 5, 8, 11, and 14 are in S.at n=48A192585
• Number of (w,x,y,z) with all terms in {1,...,n} and w*x<=y*z+2.at n=14A212055
• Prime numbers for which the sum of reciprocals of nonzero digits equals 1.at n=5A239685
• Primes p which are floor of Root-mean-cube (RMC) of prime(n), prime(n+1) and prime(n+2).at n=11A239941
• Primes p of the form 14*k+1 for which there is a solution to x^7 == 2 mod p.at n=44A270802
• a(n) = floor(c*s*a(n-1)) + floor(d*r*a(n-2)), where r = (3 + sqrt(13))/2, s = r/(r-1), c = 3, d = 1, a(0) = 1, a(1) = 1.at n=7A275860
• The prime numbers whose digit sum, adjacent digit sum concatenation, and adjacent digit difference concatenation are also primes.at n=46A330653
• The prime numbers that are prime-indexed primes and whose digit sum, adjacent digit sum concatenation, and adjacent digit difference concatenation are also primes.at n=6A331031
• Primes p such that (p+nextprime(p))/6 is prime and 6*p is the sum of two consecutive primes.at n=18A339775
• Number of integer partitions of 2n with reverse-alternating sum -2.at n=27A344741