33344
domain: N
Appears in sequences
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026758.at n=20A026768
- Numbers with digits 3 and 4 only.at n=33A032834
- a(n) contains n digits (either '3' or '4') and is divisible by 2^n.at n=4A035014
- Positive numbers having the same set of digits in base 2 and base 8.at n=39A037413
- Sums of 3 distinct powers of 8.at n=15A038485
- Numerators of continued fraction convergents to sqrt(602).at n=6A042154
- Trinomial transform of Lucas numbers (A000032).at n=6A082762
- Number of Othello positions with unique realization at the end of the n-th ply.at n=7A124006
- a(n) = n^5 + n^3 + n^2.at n=8A133073
- a(1)=1. a(n) = the smallest integer >a(n-1) such that both a(n) and the number of divisors of a(n) contain the same number of 1's in their binary representations as n has when written in binary.at n=13A162955
- Number of ways to partition an n X 5 grid into 5 connected equal-area regions.at n=5A167251
- T(n,m) = Number of ways to partition an nXm grid into 5 connected equal-area regions.at n=49A167261
- T(n,m) = Number of ways to partition an nXm grid into 5 connected equal-area regions.at n=50A167261
- Self-convolution of A173610.at n=11A173611
- Number of tilings of a 6 X n rectangle with n hexominoes of any shape.at n=5A174250
- Number of 2 X 2 matrices having all terms in {1,...,n} and nonnegative even determinant.at n=17A211066
- Number of n X 3 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.at n=7A268776
- T(n,k) = Number of n X k binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.at n=47A268781
- G.f.: Sum_{k>=0} x^(2^k) / Product_{j=1..2^k} (1 - x^j).at n=52A339447
- Number T(n,k) of permutations of [n] having k cycles of the form (c1, c2, ..., c_m) where c1 = min_{i>=1} c_i and c_j = min_{i>=j} c_i or c_j = max_{i>=j} c_i; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=57A344855