45144

Appears in sequences

• Area of more than one Pythagorean triangle.at n=34A009127
• Theta series of A*_11 lattice.at n=75A023923
• Numbers that are the sum of 3 positive cubes in exactly 3 ways.at n=35A025397
• Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways.at n=30A025401
• Numbers that are the sum of 3 distinct positive cubes in 3 or more ways.at n=33A025402
• Number of self-avoiding polygons with perimeter n on hexagonal [ =triangular ] lattice.at n=12A036418
• Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0.at n=5A037601
• a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once.at n=45A060437
• Number of nonisomorphic (possibly decomposable) self-dual quantum codes on n qubits.at n=10A094927
• Number of Type I but not Type II additive Hermitian self-dual codes of length n over GF(4).at n=10A110865
• Triangle read by rows: T(k,s) = binomial(k+s,2s+1)*(2k-1)*(2k+1)/(2s+3), k >= 1, 0 <= s <= k-1.at n=47A111126
• a(n) = prime(2^(n + 1)) - prime(2^n).at n=12A135373
• Numbers with prime factorization p*q*r^3*s^3 (where p, q, r, s are distinct primes).at n=22A190108
• a(n) = 9*a(n-1) - 5*a(n-2), with a(0)=0, a(1)=1.at n=6A190982
• Number of length 5+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=14A248542
• p-INVERT of (1,1,1,1,1,...), where p(S) = 1 - 4*S + S^2.at n=6A291016
• Expansion of 1/(1 - x*Product_{k>=1} 1/(1 + x^k)^k).at n=24A299212
• a(n) = 378*n^2 - 54*n (n>=1).at n=10A305070
• Triangle T(n, k) read by rows, n > 0 and 0 < k <= 3^(n-1): T(n, k) = A321768(n, k) * A321769(n, k) / 2.at n=17A322170
• Heinz numbers of integer partitions with the same number of even parts, odd parts, even conjugate parts, and odd conjugate parts.at n=20A350947