30032

Appears in sequences

• Sum of the odd parts in all partitions of n into distinct parts.at n=42A116682
• Sums of 2 distinct primorials.at n=15A177689
• G.f. satisfies: A(x) = 1 + x*A(x) / ( A(I*x)*A(-I*x) ).at n=27A216683
• Irregular triangular array T(n,k) of consecutive composites.at n=29A226085
• Integers that reach the (47360, 29127) cycle described in A234534, after iterations of numerator(sigma(n)/n) = A017665(n).at n=6A249614
• Primorial base log-function: fully additive with a(p) = p#/p, where p# = A034386(p).at n=50A276085
• Numbers that are the sum of distinct primorial numbers (A002110) (not including 1).at n=32A290249
• Sum of the fifth powers of the parts in the partitions of n into two parts.at n=7A294272
• Expansion of Product_{k>=1} 1/(1 - x^k)^(mod(k,3)).at n=36A301589
• Lengths of largest face diagonal in primitive Euler bricks or Pythagorean cuboids: possible values of max(d, e, f) for solutions to a^2 + b^2 = d^2, a^2 + c^2 = e^2, b^2 + c^2 = f^2 in coprime positive integers a, b, c, d, e, f.at n=31A306120
• a(1) = 1, and for n > 1, a(n) = A276085(A327963(n)).at n=62A327964
• a(n) = Sum_{p|n, p prime} (p #).at n=25A345284
• Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a primorial number (A002110).at n=44A353980
• Number of integer partitions of n where the parts do not have the same mean as the distinct parts.at n=39A360242
• Triangle read by rows: T(n,k) = A002110(n) + A002110(k), 0 <= k <= n; sums of two primorials, not necessarily distinct.at n=22A370121
• Numbers k such that (A276086(k)/s)^s < k^(s-1), where A276086 is the primorial base exp-function, and s = bigomega(k).at n=44A370127
• Triangle read by rows: T(n,k) = A002110(n) + A002110(k), 1 <= k <= n; sums of two primorials > 1, not necessarily distinct.at n=15A370134
• Fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x).at n=25A373158
• Expansion of g.f. A(x) satisfying A( A(x^2) + C(x) ) = x, where C(x) = x + C(x)^2 is the Catalan function (A000108).at n=8A373311
• a(n) = A276085(A048103(n)), where A276085 is the primorial base log-function, and A048103 is the range of the primorial base exp-function (A276086).at n=37A376413