49474

Appears in sequences

• a(n) = n*(n+5)*(50+45*n+n^2)/24.at n=23A101861
• Combinatorial triangle !n. This table read by rows gives the coefficients of general sum formulas of n-th left factorials (A003422). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k and k=1 to n-2, where T(i,k) satisfies !n = n + Sum_{k=1..n-2} Sum_{i=1..2*k} T(i,k) * C(n-k-1,i).at n=24A102639
• Numbers k such that k and k^2 use only the digits 2, 4, 6, 7 and 9.at n=16A137102
• Numbers which are the sum of two positive cubes and divisible by 29.at n=16A224483
• The number of primes of the form i^2 + j^4 (A028916) <= 2^n, counted with multiplicity.at n=25A226496
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 389", based on the 5-celled von Neumann neighborhood.at n=42A271596
• Number of integer partitions of n with non-biquanimous multiplicities.at n=44A371840