87296

Appears in sequences

• 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=32A002415
• Shifts 2 places left when convolved with itself.at n=18A007477
• 3-apexes of Omega: numbers k such that Omega(k-3) < Omega(k-2)< Omega(k-1) < Omega(k) > Omega(k+1) > Omega(k+2) > Omega(k+3), where Omega(m) = the number of prime factors of m, counting multiplicity.at n=23A076760
• Number of ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters.at n=31A102860
• Triangular array: T(n,k) counts the partitions of the set [n] into k odd sized blocks.at n=82A136630
• a(n) = 20*a(n-1) - 64*a(n-2) for n > 1; a(0) = 1, a(1) = 20.at n=4A166984
• Exponential Riordan array (1,sin(x)).at n=69A185690
• a(n) = n^2 * (4*n^2 - 1) / 3.at n=16A187756
• Triangle read by rows: row n gives coefficients of expansion of Product_{k=2..n} ((n+1-k)*x+k), starting with lowest power.at n=25A220884
• Numbers k such that core(k) is equal to the sum of the proper square divisors of k, where core(k) = A007913(k).at n=11A225882
• Number of compositions of n avoiding the pattern 111.at n=23A232432
• Expansion of (1+4*x)/((1+2*x)*(1-4*x)).at n=8A246036
• Decimal representation of the n-th iteration of the "Rule 69" elementary cellular automaton starting with a single ON (black) cell.at n=8A266842
• Decimal representation of the n-th iteration of the "Rule 70" elementary cellular automaton starting with a single ON (black) cell.at n=8A266846
• Decimal representation of the n-th iteration of the "Rule 93" elementary cellular automaton starting with a single ON (black) cell.at n=8A267055
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 43", based on the 5-celled von Neumann neighborhood.at n=16A278446
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood.at n=16A285819
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 278", based on the 5-celled von Neumann neighborhood.at n=16A287489
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood.at n=16A287745
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 353", based on the 5-celled von Neumann neighborhood.at n=16A287760