31304

Appears in sequences

• A generalized partition function.at n=19A002600
• Theta series of D_7 lattice.at n=11A008429
• Number of ways of writing n as a sum of 7 squares.at n=22A008451
• Expansion of Product_{m>=1} (1+q^m)^(-7).at n=16A022602
• a(n) = n*(n+1)*(n+7)*(122+57*n+n^2)/120.at n=12A101862
• Number of complete rulers with length n.at n=17A103295
• a(3n) = floor(43*2^n/28) - 1, a(3n+1) = a(3n) + 3*2^(n-3), a(3n+2) = floor(17*2^n/7 - 6/7) for n>=3.at n=43A123946
• Number of length-n 0..7 arrays with no repeated value equal to the previous repeated value.at n=4A269466
• Number of length-5 0..n arrays with no repeated value equal to the previous repeated value.at n=6A269469
• E.g.f.: 1/(1-x) * Product_{k>0} (1 + sinh(x^k/k)).at n=7A270597
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 323", based on the 5-celled von Neumann neighborhood.at n=36A271255
• Expansion of (E_4(q) - 28*E_4(q^2) + 63*E_4(q^3) - 36*E_4(q^6)) / 240.at n=20A288485