30037

Appears in sequences

• Expansion of (1+x-x^3)/((1-2*x)*(1-x^2)).at n=14A052997
• a(n) = 4*a(n-1) + 1, a(1)=7.at n=6A072261
• Array read by antidiagonals. Rows contain odd numbers reaching same odd successor in Collatz function iteration.at n=38A099730
• G.f. satisfies: A(x) = Sum_{n>=0} x^n * A(x)^(n^2-n).at n=9A107594
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (1, 0, 0), (1, 0, 1), (1, 1, -1)}.at n=8A150415
• Sums of 3 distinct primorials.at n=21A177697
• Array T(n,k) of odd Collatz preimages read by antidiagonals.at n=51A178415
• Irregular triangular array T(n,k) of consecutive composites.at n=34A226085
• Rectangular array with all start numbers Mo(n, k), k >= 1, for the Collatz operation ud^(2*n-1), n >= 1, ending in an odd number, read by antidiagonals.at n=34A238476
• a(n) = (1 + 2^n + 3^n)/2.at n=9A267799
• a(n) = 4*a(n-2)+1 with initial terms 1,3,7.at n=14A283323
• Numbers k in A228058 such that also A001065(k) is in A228058.at n=37A325380
• Numbers obtained by reinterpreting base-2 representation of odd numbers in primorial base.at n=34A328462
• Numbers that are sums of distinct primorial numbers, A002110, and do not have a factor of the form p^p.at n=49A328832
• An array A of the positive odd numbers, read by antidiagonals upwards, giving the present triangle T.at n=42A347834
• 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=49A370127
• Composite numbers for which A324644(n)/A324198(n) = 2 and sigma(n) == 2 (mod 4).at n=24A371082
• Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(1, k) = 8*k-7, and A(n+1, k) = A371094(A(n, k)), n,k >= 1.at n=18A371096
• Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(n, k) = 4^n*(6*k - 3 - 2*(-1)^n) + (4^n - 1)/3, n,k >= 1.at n=22A371100
• Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(n, k) = 4^n*(6*k - 3 - 2*(-1)^n) + (4^n - 1)/3, n,k >= 1.at n=40A371100