24851

Properties

Appears in sequences

• a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=48A005709
• Expansion of 1/(1 - x^7 - x^8 - ...).at n=55A017901
• n*10^4-1, n*10^4-3, n*10^4-7 and n*10^4-9 are all prime.at n=6A064978
• Primes of the form 5k^2 + 5k + 1.at n=36A090562
• (7*n+6)-th terms of expansion of 1/(1-x-x^7).at n=6A099253
• Row sums of triangular matrix A105540, in which column n equals A105540^(n+1) when flattened as read by rows.at n=20A105541
• Smaller of 3 consecutive prime numbers such that p1*p2*p3+d1+d2-1=average of twin prime pairs, d1(delta)=p2-p1,d2(delta)=p3-p2.at n=8A153402
• Primes which are the sum of 6 consecutive triangular numbers A000217.at n=12A159071
• Sequence of primes separated by [sequence of prime] elements. 2, [find 2nd prime after 2 = ] 5, [find 3rd prime after 5 =] 13, [find 5th prime after 13 =] 61, ..., etc.at n=38A180302
• Primes p such that floor(log(p)) + p^2 is prime.at n=40A225626
• Primes p congruent to 11 mod 12 such that (p - 1)/2 does not divide the numerator of the Bernoulli number B(p-1).at n=15A232040
• Least prime p such that p*10^n-1, p*10^n-3, p*10^n-7 and p*10^n-9 are all prime.at n=3A243411
• Prime numbers that are the sum of one or more consecutive triangular numbers.at n=42A269414
• Denominators of r-Egyptian fraction expansion for (1/2)^(1/3), where r = (1,1/4,1/9,1/16,...).at n=5A270382
• Primes equal to a heptagonal number plus 1.at n=24A285791
• Number of n X 4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 3 or 6 neighboring 1s.at n=22A296550
• Primes p such that q = p mod A001414(p-1) = p mod A001414(p+1) is prime.at n=27A339182
• a(n) = coefficient of x^n in the power series A(x) such that: x = Sum_{n=-oo..+oo} (-1)^n * x^n * (1 + x^n)^n * A(x)^n.at n=9A359721
• Expansion of 1/(1 - x * (1 + x^2)^3).at n=16A373718
• Prime numbersat n=2748