27378

Appears in sequences

• Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=25A005718
• Positions of 4-digit terms in the continued fraction for Pi (3 is at position 0).at n=22A048959
• Numbers such that the nonzero product of the digits of its 4th power is also a 4th power.at n=14A066734
• Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(n,0)=A006013(n), a(n+1,n)=A001764(n+1), a(n,m) = Sum A001764(n-k)*a(n,k), k=0..m.at n=30A073148
• Numbers k such that the k-th difference between 2 successive primes equals the squarefree part of k.at n=35A078691
• Row sums in A083167.at n=26A083170
• Partial sums of n 3-spaced triangular numbers beginning with t(2), e.g., a(2) = t(2) + t(5) = 3 + 15 = 18.at n=25A085789
• Convolution of sequence of primes with sequence sigma(n).at n=30A086718
• G.f. is the polynomial (Product_{k=1..27} (1 - x^(3*k)))/(1-x)^27.at n=4A162726
• Non-deficient numbers with odd sigma such that the sum of the even divisors is twice the sum of the odd divisors.at n=22A171642
• a(n) = 6*n^2*(2*n + 1).at n=13A190705
• a(n) = 18*n^2.at n=39A195321
• Numbers n such that n^2 is divisible by the sum of the distinct prime divisors of n^2 + 1.at n=14A196219
• Number of (n+2) X 4 0..1 arrays with no 3 X 3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=2A204392
• Number of (n+2)X5 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=1A204393
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=7A204398
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=8A204398
• Number of (w,x,y,z) with all terms in {1,...,n} and |x-y|=|y-z|+1.at n=27A212680
• Numbers n such that n is the sum of two nonzero squares while n^2 is the sum of two positive cubes.at n=23A273554
• Number of partitions of n*(n-1)/2 into at most four parts.at n=17A274099