32385
domain: N
Appears in sequences
- Extreme points of set of n X n symmetric substochastic matrices.at n=8A053553
- Triangular numbers with sum of digits = 21.at n=21A068131
- Triangular numbers with property that digits alternate in parity.at n=35A068882
- Triangular numbers equal to the sum of a prime number with its index.at n=22A115886
- Triangular numbers for which the sum of the digits is an octagonal number.at n=24A117523
- a(n) = binomial(2^n-1,2).at n=8A134057
- Weight distribution of [255,55,63] primitive binary BCH code.at n=64A151934
- Weight distribution of [255,63,63] primitive binary BCH code.at n=64A151935
- 144*n^2 - n.at n=14A156635
- a(n) = 225*n^2 - 15.at n=11A158559
- a(n) = ((2^b-1)/phi(n))*Sum_{d|n} Moebius(n/d)*d^(b-1) for b = 8.at n=1A160913
- The non-repetitive Kaprekar binary numbers in decimal.at n=42A163205
- Double q-form product triangle:q=2;c(n,q)=Product[(1 - q^i)*(1 - q^(i - 1)), {i, 2, n}];t(n,m,q)=c(n,q)/(c(m,q)*c(n-m,q)).at n=37A173884
- Triangle T(n, k) = c(n, q)/c(k, q) if k <= floor(n/2), otherwise c(n, q)/c(n-k, q), where c(n, q) = Product_{j=1..n} (1 - q^j) and q = 2, read by rows.at n=38A174387
- Triangle T(n, k) = c(n, q)/c(k, q) if k <= floor(n/2), otherwise c(n, q)/c(n-k, q), where c(n, q) = Product_{j=1..n} (1 - q^j) and q = 2, read by rows.at n=42A174387
- Triangular numbers of the form 2p-1 where p is prime.at n=33A217000
- Triangular numbers n with digits d_1, d_2, ..., d_k such that d_1*(d_1+1)/2 + ... + d_k*(d_k+1)/2 is a triangular number.at n=31A254957
- Permutation of natural numbers: a(1) = 1; a(2n) = nontriangular(a(n)), a(2n+1) = triangular(1+a(n)), where triangular = A000217, nontriangular = A014132.at n=54A257798
- Triangle of numbers S(n,k) (0 <= k <= n) arising in the enumeration of interval orders without duplicated holdings.at n=42A259876
- a(n) = A000217(A000217(n)+1).at n=22A267707