32513

Appears in sequences

• Expansion of the reciprocal of the g.f. defining A039924.at n=19A003116
• a(n) = 2^(2n+1) - 2^(n+1) + 1.at n=7A092440
• Table of number of domino tilings of generalized Aztec pillows of type (1, ..., 1, 3, 1, ..., 1)_n.at n=35A112830
• a(n) = ceiling((2^n + 1 - 2*floor(2^(n/2)))/2).at n=15A129757
• Numbers k such that the sum of the Carmichael lambda functions of the divisors is a proper divisor of k.at n=23A131492
• Expansion of (1 + 4*x - 6*x^2 - 16*x^3 + 20*x^4)/((1-x)*(1-2*x)*(1+2*x)*(1-2*x^2)).at n=14A171663
• a(n) = 2^n - n*(n+2).at n=15A176778
• A symmetrical triangle read by rows: T(n, k) = 2^n*(q^k - 1)*(q^(n - k) - 1) + 1, where q = 2.at n=37A176793
• A symmetrical triangle read by rows: T(n, k) = 2^n*(q^k - 1)*(q^(n - k) - 1) + 1, where q = 2.at n=43A176793
• -7-Knödel numbers.at n=25A225511
• Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.at n=32A274058
• a(2n) = A060867(n+1), a(2n+1) = A092440(n+1).at n=13A276918
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 779", based on the 5-celled von Neumann neighborhood.at n=14A290296
• Table of coefficients in row functions R(n,x) such that [x^k] exp( k^n * x ) / R(n,x) = 0 for k>=1 and n>=1.at n=47A304320
• Numbers k whose binary expansion starts with the concatenation of the binary expansions of the run lengths in binary expansion of k.at n=26A348111
• Number of 3-tuples of nonnegative integers less than p for which 3-argument multinomial coefficients support a Lucas congruence modulo p^2, where p is the n-th prime.at n=15A348885
• Sequence of primitive Pythagorean triples beginning with the triple (3,4,5), with each subsequent triple having as its inradius the short leg of the previous triple, and with the long leg and the hypotenuse of each triple being consecutive natural numbers.at n=20A378963
• Centered square numbers which are sphenic numbers.at n=16A380882
• Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention.at n=47A389918