33664

Appears in sequences

• Numbers m such that 2*m - sigma(m) is a divisor of m and greater than one, where sigma = A000203 is the sum of divisors.at n=16A060326
• Consider 3 X 3 X 3 Rubik cube, allowing moves F, U, L, R, D and their inverses; sequence gives number of positions that are exactly n moves from the start.at n=5A080618
• Even and odd solutions to abs(sigma(x)-2x) <= log(x). Numbers n whose abundance-radius does not exceed log(n).at n=45A088011
• Numbers k with abundance radius of 8, i.e., abs(sigma(k)-2*k) = 8.at n=11A088820
• Near-multiperfects with primes and powers of 2 excluded, abs(sigma(m) mod m) <= log(m).at n=35A117348
• Near-multiperfects with primes, powers of 2 and 6 * prime excluded, abs(sigma(n) mod n) <= log(n).at n=35A117349
• Numbers k whose abundance sigma(k) - 2*k = -8. Numbers k whose deficiency is 8.at n=6A125247
• Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and determinant >= 3n.at n=8A211153
• Rectangular array: (row n) = b**c, where b(h) = h^3, c(h) = (n-1+h)^3, n>=1, h>=1, and ** = convolution.at n=29A213558
• Numerators of convergents to the square root of the golden ratio.at n=8A225204
• a(n) = 2^(n-1)*(2^n+7).at n=8A257272
• Deficient-perfect numbers: Deficient numbers n such that n/(2n-sigma(n)) is an integer.at n=32A271816
• Numbers k such that sigma(k) == 0 (mod k-4).at n=12A274554
• Bi-unitary deficient-perfect numbers: bi-unitary deficient numbers k for such that 2*k - bsigma(k) is a bi-unitary divisor of k, where bsigma(k) is the sum of bi-unitary divisors of k (A188999).at n=32A303358
• Numbers n for which A294898(n) is not zero and A294898(n) divides A000120(n); numbers for which A326130(n) = abs(A294898(n)).at n=23A326132
• a(n) is the determinant of the 2 X 2 matrix whose entries (when read by rows) are the n-th primes congruent to 1, 3, 5, 7 mod 8 respectively.at n=19A337145
• E.g.f. A(x) satisfies A(x) = 1/( 1 - sinh(x * A(x)^(1/2)) / A(x)^(3/2) ).at n=10A381303
• a(n) = (1/2) * Sum_{k=0..floor(n/3)} 2^(n-k) * binomial(2*n-4*k+2,2*k+1).at n=8A387603