33648

Appears in sequences

• a(n) = T(n, n-3), T given by A026552. Also a(n) = number of integer strings s(0), ..., s(n) counted by T, such that s(n) = 3.at n=11A026556
• a(n) = Sum_{k=0..2n-3} T(n,k) * T(n,k+3), with T given by A026519.at n=4A027265
• a(n) = Sum_{k=0..2n-3} T(n,k) * T(n,k+3), with T given by A026552.at n=4A027275
• a(n) = Sum_{k=0..m-3} T(n,k) * T(n,k+2), where m=n for n=0,1,2,3; m=2n for n >= 4; and T is given by A026082.at n=4A027318
• a(n) = binomial(n+6,5) - 1.at n=17A062988
• Numbers such that the nonzero product of the digits of its 4th power is also a 4th power.at n=18A066734
• Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=38A111078
• (n+1) + (n+1)(n+2) + ..., with n terms.at n=4A111686
• Numbers k such that there are 10 digits in k^2 and for each factor f of 10 (1, 2, 5) the sum of digit groupings of size f is a square.at n=14A153748
• Number of binary strings of length n with equal numbers of 00001 and 01010 substrings.at n=16A164199
• G.f.: A(x) = Sum_{n>=0} (1 + x)^(n(n+1)/2) / 2^(n+1).at n=5A173219
• Self-avoiding walks with n steps on the truncated trihexagonal tiling or (4,6,12) lattice.at n=16A249795
• Numbers k such that Bernoulli number B_{k} has denominator 46410.at n=7A295590
• Expansion of Product_{1 <= i <= j <= k} 1/(1 - x^(i*j*k)).at n=31A321360
• G.f. = Phi^4, where Phi = g.f. for A028930.at n=40A328529
• Array read by antidiagonals: A(n,k) is the number of nonnegative integer matrices with k distinct columns and any number of nonzero rows with column sums n and columns in decreasing lexicographic order.at n=30A331278
• Smallest integer that is the sum of a prime and the square of a prime in exactly n ways.at n=29A381334
• a(n) = [(x*y)^n] Product_{k>=1} 1 / (1 - x^k - y^k)^n.at n=4A382949
• Expansion of B(x)/sqrt(1 + 2*(B(x)-1)), where B(x) is the g.f. of A000984.at n=10A387086