42176

Appears in sequences

• Sum of Gaussian binomial coefficients [ n,k ] for q=5.at n=5A006119
• The number phi_3(n) of Frobenius partitions that allow up to 3 repetitions of an integer in a row.at n=27A053992
• Numbers k such that (k+3, k+5, k+17, k+257, k+65537) are all primes.at n=30A063799
• Number of n X n binary matrices containing no 2 X 2 all-1s sub-block.at n=4A139810
• Number of n X n binary matrices, symmetric under horizontal and vertical reflection, with no more than 3 ones in any 2 X 2 subblock.at n=7A141510
• a(n) = ((1+4*sqrt(2))*(2+2*sqrt(2))^n + (1-4*sqrt(2))*(2-2*sqrt(2))^n)/2.at n=6A164603
• Number of n X 4 binary matrices with no 2 X 2 block having four 1's.at n=3A181247
• T(n,k)=Number of nXk binary matrices with no 2X2 block having four 1's.at n=24A181253
• Triangle read by rows: Kreweras's "Rule A_4 left thickness" numbers.at n=51A259099
• Numbers k such that (82*10^k + 161)/9 is prime.at n=29A271505
• a(n) = 2*(3 + 2 n + 3 n^2 + 3 n^3 + 3 n^4 + n^5 + n^6).at n=5A276351
• Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.at n=5A285147
• T(n,k) = Number of n X k 0..1 arrays with the number of 1s horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.at n=33A285152
• Number of 6 X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.at n=2A285157
• a(n) equals the sum of the Gaussian binomial coefficients [n,k] at q=n for n>=0.at n=5A292499
• Numbers k such that 28*10^k + 1 is prime.at n=21A293824
• Number T(n,k) of permutations of [n] having exactly k consecutive 3-term arithmetic progressions; triangle T(n,k), n>=0, 0<=k<=max(n-2,0), read by rows.at n=51A295390
• Number of nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (h,v) with h in {1..max(1,y)} and v in {-1,0,1}.at n=12A337067
• Square array read by descending antidiagonals: T(n,k) is the number of subgroups of the elementary abelian group of order A000040(k)^n for n >= 0 and k >= 1.at n=33A370887
• a(n) = Sum_{1 <= x_1, x_2, x_3 <= n} gcd(x_1, x_2, x_3, n)^5.at n=7A372930