41012

Appears in sequences

• Numbers k such that the decimal representation of k is contained as substring in that of the k-th triangular number.at n=14A119238
• G.f.: A(x) = exp( Sum_{n>=1} C(2n-1,n)^2*x^n/n ).at n=6A158266
• Numbers k such that (2^64 - 189)*10^k + 1 is prime.at n=11A209250
• Number of n X 4 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=4A224258
• T(n,k) = number of n X k 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=32A224262
• Number of 5 X n 0..2 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=3A224265
• Number of (n+1) X 7 0..1 matrices with each 2 X 2 subblock idempotent.at n=14A224548
• Number of partitions p of n such that (maximal multiplicity of the parts of p) > (number of distinct parts of p).at n=45A240309
• Number of 6 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=16A281474
• G.f. A(x) satisfies: 1/(1-x) = Sum_{n>=0} x^n * ((1+x)^n - A(x))^n, where A(0) = 0.at n=8A325575
• Expansion of 1/(1 + x*Product_{k>=1} (1 - x^k)).at n=39A331484